Use the linear combination method to solve the system of equations. Please explain each step of your solution

2x - 3y = 13
x + 2y = -4

Answers

Answer 1

Answer:

(2, -3)

Solve the equation

[tex]\left \{ {{2x-3y=13} \atop {x+2y=-4}} \right.[/tex]

Rearrange like terms to the same side of the equation

[tex]\left \{ {{2x-3y=13} \atop {x=-4-2y}} \right.[/tex]

Substitute into one of the equations

[tex]2(-4-2y)-3y=13[/tex]

Apply the Distributive Property

[tex]-8-4y-3y=13[/tex]

Combine like terms

[tex]-8-7y=13[/tex]

Rearrange variables to the left side of the equation

[tex]-7y=13+8[/tex]

Calculate the sum or difference

[tex]-7y=21[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]y=-\frac{21}{7}[/tex]

Cross out the common factor

[tex]y=-3[/tex]

Substitute into one of the equations

[tex]x=-4-2\times(-3)[/tex]

Calculate

[tex]x=2[/tex]

The solution of the system is

[tex]\left \{ {{x=2} \atop {y=-3}} \right.[/tex]

I hope this helps you

:)


Related Questions

If its not much to ask can you guys help?

Answers

Answer:

43

Step-by-step explanation:

49+88=137

180-137=43

Answer:

43

Step-by-step explanation:

1. You take 88 and add itr to 49 and get 137

2. Take 137 and subtract it from 180 and get 43.

Which line plot displays a data set with an outlier?​

Answers

Answer:

the one with the 23 all the way at the end

Step-by-step explanation:

i just know ;-;

the one with one dot at 23 so the 3rd one:)

The square root of 125 is between what

Answers

Answer:The square root of 125 is between 11(121) and 12(144) eeeeee

Step-by-step explanation:

The is 5 √5 I think did this and class

3x[-5(2x+5y+1)-7(-3y+8xy-7)]+9y(x-1)
HELP PLEASE!! 50 POINTS

Answers

Answer:

That my answer sana maka tuolong

Pretty sure the answer is 13
Source : Trust Me

When Randy works 5 hours as a baseball umpire, he earns $77.50. When he works 18 hours, he earns $279.00. Which equation represents Randy’s earnings m for any number of hours h?

A) m=18h

B) m=15.50h

C) m=75h

D) m=5.25h

Answers

Answer:

B) m=15.50h

Step-by-step explanation:

77.50 ÷ 5 = 15.50

279 ÷ 18 = 15.50

Randy makes $15.50 per hour.

the answer is b $15.50 an hour

Find the volume of each figure, round to nearest tenth

Answers

Answer:
Height:11
Radius:8.66
Diameter:10
Volume:863.94

here is da points please help me

Answers

Answer:

4

Step-by-step explanation:

2 3-8/4

Answer:

See below.

Step-by-step explanation:

2x-8/y

2(3)-8/4

6-8/4

6-2

4

-hope it helps

Im confused with this question

Answers

Answer:

15.84 oz

Step-by-step explanation:

18 X 0.12 = 2.16

18 - 2.16 = 15.84

15.84 oz

PLEASE MARK BRAINLIEST!

Have a great day!

15.80. Because I’m just good get cracked next time

Please help me with this, thanks guys

Answers

Answer:

1) 1 | 3, 5, 8

2| 2, 4, 6, 6

3| 4, 8, 9

4| 5, 5

5| 1, 5, 6

Step-by-step explanation:

You put the tens place in the "stem" section and the ones in the "leaf" section. For 3 digit number you but both the hundreds and tens in the stem spot. Ex) 23 | 1, 5, 8, 9

Answer:

1) 1 | 3, 5, 8     2| 2, 4, 6, 6     3| 4, 8, 9    4| 5, 5    5| 1, 5, 6

Step-by-step explanation:

What is the value of the following expression? 7 + 18 ÷ ( 6 - 3 )

Answers

Answer:

13

Step-by-step explanation:

13 because first you do 6-3 which equals 3 then you do 18 / 3 because of PEMDAS so you get 6 the you add 7 by 6 which equals 13!

Please mark brainliest if this helped.

Answer:

13

Step-by-step explanation:

7 + 18 ÷ (6 - 3)7 + 18 ÷ 37 + 6 13

What is the area of the trapezoid with height 13 units?



Enter your answer in the box.

Answers

Answer:

286

Step-by-step explanation:

The equation for Area of Trapezoid is:

[tex]Atrapezoid = \frac{h(b1+b2)}{2}[/tex]

First, replace the variables with their values:

h=13

b1=15

b2=(7+7)+15=29

Now, your equation should look like this:

[tex]Atrapezoid = \frac{13(15+29)}{2}[/tex]

Now, solve:

[tex]15+29=44[/tex]

[tex]\frac{13(44)}{2}[/tex]

[tex]44*13=572[/tex]

[tex]\frac{572}{2}=286[/tex]

The area of the trapezoid is 286.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

-[tex]Kallmekris[/tex]

Giving Brainliest! Part 9. Worth 25 points each!
What is the function of g(x)?
Looking for a detailed description.

Answers

it has an infinite (many many)solutions. For example a function rule for g(x) could be g(x)=3x2+7 or g(x)=sin(x) and so on.

The correct options are (A) up and (A) 2 units to the left of the function g(x)

Step-by-step explanation:  We are given the following functions:

We know that the vertex form of a function h(x) is

The function h(x) opens down if a < 0 and opens up if a > 0.

Substituting the value of g(x) from equation (i) in (ii), we have

Comparing it with the vertex form, we get

a = 1 > 0.

So, f(x) opens up.

Also, the value of 'x' co-ordinate in f(x) is increased by 2 units as compared to g(x), so the graph of g(x) is shifted horizontally 2 units to the left of the function g(x).

The graphs of both the functions f(x) and g(x) are attached below.

Thus, the graph of function f(x) opens (A). up

and

the graph of the function f(x) is shifted horizontally (A). 2 units to the left of the function g(x).

I hope this helps.

may i have brainliest?

have a good day mate~hailey

Help 50 points and brainlest only if you answer all the questions

Answers

Answer: See below

Step-by-step explanation:

a) 6(3x+4y-8)

Use the distributive property:

6*3x + 6*4y - 6*8

18x + 24y - 48

So D is the correct answer

b) Factor out 4 because it can fit into 12 - 3 times - and 4 - one time.

12+4x

= 4(3+x)

So D is the correct answer

c) When you expand both C and D and simplify, you get 16x+36 as solution

d) 14x+2y+10z

Factor out 2 because it can fit into 14, 7 times. 2, one time. And 10, 5 times

14x+2y+10z

= 2(7x+y+5z)

So D is the correct answer again ;)

Answer:

18x+24y-48,

4(3+x),

x(16+36), 2(8x=18), 4(4x+9)

2(7x+y+5)

Step-by-step explanation:

I'll explain later if you want

The table shows the number of days and the total number of miles Sydney ran and cycled each week. Each day that she ran, she ran the same number of miles. Each day that she cycled, she cycled the same number of miles. Complete the table to find the total number of miles Sydney ran and cycled in Week C.

Answers

Answer:

64

Step-by-step explanation:

What is the solution to -8(5-3n+7n)=-40+24n-56n= ?

Answers

Solution:

Note that:

Given equation: -8(5 - 3n + 7n) = -40 + 24n - 56n

Simplify both sides:

-8(5 - 3n + 7n) = -40 + 24n - 56n=> -40 + 24n - 56n = -40 + 24n - 56n

Since both sides are equal, this equation has infinite solutions.

-8(5-3n+7n)= -40+ 24n -56n
-(8•5)-(-8•3n)-(8•7n)=-40+ 24n -56n
-40+ 24n -56n =-40+ 24n -56n

Can you answer this question/

Answers

taxis is : 18
and buses is : 25

Answer:

Taxis : 6, 18, 36
Buses: 5, 15, 30
6:5, 18:15, and 36:30

Step-by-step explanation:

Since 5x3=15, you multiply 6 by 3, which gets you 18.
Also, 6x6=36, so you do 5x6=30.

STRUCTURE The inside of each glass is shaped like a cone. Which glass can hold more liquid?


Two glasses, Glass A and Glass B are shown, with their insides having the shape of a cone. The height and the radius of the base of the cone in Glass A are 8 centimeters and 4 centimeters respectively. The height and the radius of the base of the cone in Glass B are 10 centimeters and 3 centimeters respectively.



can hold more liquid.


Question 2

How much more? Round your answer to the nearest tenth.

The glass holds __cubic centimeters more than the other glass.

Skip to navigation

Answers

Answer:

glass A holds more

the glass holds 39.8 cubic centimeters more than the other glass

Step-by-step explanation:

1. π x 4 to the power of 2 x 8/3 = 134.0412866

2. π x 3 to the power of 2 x 10/3 = 94.24777961

3. 134.0412866 - 94.24777961 = 39.79350699

4. 39.79350699 rounded to the nearest tenth is 39.8

Glass A holds more liquid and the glass hold 40 cm³ more liquid than glass B.

What is mensuration?

The study of geometric figure calculation and its parameters, such as area, length, volume, lateral surface area, surface area, and so on, is known as mensuration. It discusses all of the essential equations and properties of various geometric shapes and figures, as well as the fundamentals of calculation.

Given two glass and the inside of each glass is shaped like a cone

for glass A, height  = 8 cm and radius = 4 cm

for glass B,  height = 10cm and radius = 3 cm

to find the capacity of both glasses we need to find the volume of the both glass

volume of cone =  V=1/3hπr², where h = height and r = radius

volume of glass A = 1/3 x 8 x π x 4²

volume of glass A = 133.97 cm³

volume of glass B = 1/3 x 10 x π x 3²

volume of glass B = 94.2 cm³

volume of A - volume of glass B = 133.97 - 94.2 = 39.77 cm³

Hence the volume of glass A is more then Glass B so glass A contain more liquid than glass B and the glass holds 40 cubic centimeters (nearest tenth) more than the other glass.

Learn more about mensuration;

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help me with this geometry please

Answers

The answer can be tricky but it ends up being  585

Hope this helps!

Answer:

Giving the guy above me some credit, and a little competition

THE ANSWER: IS 585

incorrect answer: 1170

PLEASE HELP ASAP
Which expression is equivalent to 1/16?
4^1 x 4^-3
4^1 x 4^-10
4^1 x 4^-4
4^-1 x 4^3

Answers

Answer: 1

Step-by-step explanation: 1. 4x4=16 4x4x4= -64x16= -1024

Help me please i need step by step explanation to please

Answers

Answer:

-80x + 24 (A)

Step-by-step explanation:

To solve this, we need to break the brackets. This is done by multiplying -8 to 10x and -3 to give us our final answer of -80x + 24.

So, the answer is A.

due today at 11 pm!

Answers

Answer:

the picture is very low quality, maybe try to put more effort?

Step-by-step explanation:

A number plus 16 times its reciprocal equals 4. Find all possible values for the number.

Answers

x+16/x=4. x^2+16-4x=0. x=8+-^17

All the possible values for the number are [tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex].

Given that, a number plus 16 times its reciprocal equals 4.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Let the unknown number be x.

Now, the equation is [tex]x+\frac{16}{x}=4[/tex]

[tex]\frac{x^2+6}{x}=4[/tex]

[tex]x^2+16=4x[/tex]

[tex]x^2-4x+16=0[/tex]

By comparing [tex]x^2-4x+16=0[/tex] with [tex]ax^2+bx+c=0[/tex], we get a=1, b=-4 and c=16.

Substitute these values in quadratic formula [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex], we get

[tex]x=\frac{4\pm\sqrt{(-4)^2-4\times1\times16} }{2\times1}[/tex]

[tex]x=\frac{4\pm\sqrt{-48} }{2}[/tex]

[tex]x=\frac{4\pm4i\sqrt{3} }{2}[/tex]

[tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex]

Therefore, all the possible values for the number are [tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex].

To learn more about the solution of quadratic equation visit:

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Use the data on the dot plot to answer the question. A dot plot titled How Many Hours did you read last week going from 3 to 6. 3 has 4 dots, 4 has 6 dots, 5 has 3 dots, and 6 has 5 dots. How many people read for more than three hours last week?

Answers

14

You need to find all the people who read more than three hours. More than three hours would mean people who read more than 4, 5, or 6 hours. Since the number of people who read 4 hours is 6 dots and 5 hours are 3 dots, we add them together.

6+3

= 9

Since the number of people who read 6 hours is 5, we also add that.

9+5

= 14

Answer:

14

Step-by-step explanation:

More than 3 hours would be 4 hours and 5 hours and 6 hours.

So sum the number of dots above the numbers 4, 5 and 6:

6 + 3 + 5 = 14

repost: Каков объем этой прямоугольной призмы?
45 кубических дюймов

81 кубический дюйм

180 кубических дюймов

405 кубических дюймов
(english: What is the volume of this rectangular prism?


45 cubic inches


81 cubic inches


180 cubic inches


405 cubic inches

Answers

So first of all we should know that the rectangular prism is a cuboid.

[tex] \\ \\ [/tex]

Given :-heigth = 9 in.Length = 5 in.Width = 4 in.

[tex] \\ [/tex]

To find:-Volume of cuboid.

[tex] \\ [/tex]

Solution:-

We know:-

[tex] \bigstar \boxed{ \rm volume \: of \: cuboid = length \times width \times height}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \dashrightarrow \sf volume \: of \: cuboid = length \times width \times height \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf volume \: of \: cuboid = 9 \times 5 \times 4 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf volume \: of \: cuboid = 45 \times 4 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \bf volume \: of \: cuboid = 180 {in}^{3} \\ [/tex]

Therefore option C is correct .

[tex] \\ \\ [/tex]

know more:-

[tex] \\ \\ [/tex]

[tex]\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]

please help and explain and i will give brainly

Answers

Step-by-step explanation:

x + 3y = 9

-2x + 2y = 6

2x + 6y = 18

-2x + 2y = 6

0 + 8y = 24

8y = 24

y = 3

x + 3y = 9

x + 3(3) = 9

x + 9 = 0

x = 0

x = 0

x = 0y = 3

MARK ME AS BRAINLIST

Answer:

x = 0y = 3

Step-by-step explanation:

Trying to answer 25 questions, and now you can give the other person brainliest :)

PLSSS HELPPPPP MEEEE EEE ASAP

Answers

Answer:

the third one

Step-by-step explanation:

upside down t

Third picture is the answer! Hope this helps you and hope it helps your question

What are the measures of ∠CAB and ∠ACB in the figure?

Answers

Answer:

See below

Step-by-step explanation:

(7x +3) is the same as angle opposite B

So 7x+3 will equal 103 degrees.

To figure out angle ACB we just take a straight line (180 degrees) and minue 103, which gives us 77 degrees

ACB = 77 degrees

Now we will just isolate x so we can figure out it's value for angle CAB

7x = 103 - 3

7x = 100

x = 100/7

x = roughly 14.3

CAB = 3x - 10 = (14.3 * 3) - 10

= 43 - 10

CAB = 33 degrees

The measure of ∠CAB is 43°.

The measure of ∠ACB  is 80°.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

ΔABC

∠A + ∠B + ∠C = 180 ______(A)

And,

∠C = 7x + 3 [ alternate angles ] _____(1)

∠B = 180 - 103 = 77 [ straight angle ] _____(2)

∠A = 3x - 10 _____(3)

Substituting (1), (2), and (3) in (A).

∠A + ∠B + ∠C = 180

7x + 3 + 77 + 3x - 10 = 180

10x + 80 - 10 = 180

10x + 70 = 180

10x = 180 - 70

10x = 110

x = 110/10

x = 11

Now,

∠CAB = 3x + 10

∠ACB = 7x + 3 [ alternate angle with (7x + 3)

Substituting x = 11.

∠CAB = 3 x 11 + 10 = 33 + 10 = 43

∠ACB = 7 x 11 + 3  = 77 + 3 = 80

Thus,

∠CAB = 43

∠ACB = 80

Learn more about triangles here:

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Julie is constructing a scale model of her room. The rectangular room is 10.25 inches by 8 inches. If 1 in = 2 feet of the actual room, find the length of the MODEL, find the scale factor (of the model again) don't use fractions

Answers

Answer:

attached

Step-by-step explanation:

Hope u understand

A bag contains 13 blue marbles, 9 red marbles, and 10 yellow marbles.

What is the probability of randomly drawing a yellow marble?

Answers

Answer:

31.25% chance

Step-by-step explanation:

if this is right can i have brainliest

Answer:

its a 31.25% probability

Step-by-step explanation:

add the 3 numbers together, round and find the common number

it's 32 so convert this to percent and it's 31.25%

For an easier way:

Find the most common number between the 3 and find its least common multiples then round to the nearest hundredth

hope this helps too!

Is the number 5.2 x 102 greater than 1 or smaller than 1?

A. It is bigger than 1 because 5 is bigger than 1

B. It is bigger than 1 because the exponent is positive

c. It is smaller than 1 because scientific notation is always smaller numbers

D. It is smaller than 1 because the exponent is positive

Answers

Is b l did the same
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