Solve the following system of equations. -3x + 4y = 64 x + 4y = 32

Answers

Answer 1

Answer:

(-8, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-3x + 4y = 64

x + 4y = 32

Step 2: Rewrite Systems

x + 4y = 32

[Subtract Property of Equality] Subtract 4y on both sides:                          x = 32 - 4y

Step 3: Redefine Systems

-3x + 4y = 64

x = 32 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                                                                                                -3(32 - 4y) + 4y = 64Distribute -3:                                                                                                   -96 + 12y + 4y = 64Combine like terms:                                                                                       16y - 96 = 64[Addition Property of Equality] Add 96 on both sides:                                16y = 160[Division Property of Equality] Divide 16 on both sides:                              y = 10

Step 5: Solve for x

Define equation:                                                                                             x + 4y = 32Substitute in y:                                                                                                x + 4(10) = 32Multiply:                                                                                                           x + 40 = 32[Subtraction Property of Equality] Subtract 40 on both sides:                       x = -8

Related Questions

Can someone pls help? Tysm if u do! <3

Answers

Movie number 3 was the most popular because it has the most dots
movie three was the most popular

what is 14.2cm correct to 1 decimal place???????

Answers

14.2 to 1 DP

= 14 cm

Answer:

14

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

A) x(x+1)

B) 3x(1-3x)

C) 7x (x and then 2 on top of the x. and then -5)

Step-by-step explanation:

Answer:

a. X(x+1) b. 3x (1-3x) C. 7x (x^2 - 5)

Step-by-step explanation:

a. X(x+1)

What is the slope of the equation y = 3/4x – 8

Answers

Hence, from the given equation slope [tex]m=\frac{3}{4}[/tex].

What is the slope of line?

A slope of a line is the change in [tex]y[/tex] coordinate with respect to the change in [tex]x[/tex] coordinate.

Here given slope of line is

[tex]y = \frac{3}{4}x- 8[/tex]

As we know the slope of line is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope

Hence, from the given equation slope [tex]m=\frac{3}{4}[/tex].

To know more about the slope of line

https://brainly.com/question/12203383

#SPJ6

The length of one side, s, of a shipping box is s(x) = ^3√2x, where x is the volume of the box in cubic inches. A manufacturer needs the volume of the box to be between 108 in^3 and 256 in^3. What are the minimum and maximum possible lengths of s?

please help

Answers

Answer:

Hey

Step-by-step explanation:

Can u say me the chapter name of this question belonging to....!?

Answer:

min: 5

max:8

Step-by-step explanation:

-3t + (-8)=25

what is t

Answers

Answer:

t = -11

Step-by-step explanation:

Solve for t:

-3 t - 8 = 25

Add 8 to both sides:

(8 - 8) - 3 t = 8 + 25

8 - 8 = 0:

-3 t = 25 + 8

25 + 8 = 33:

-3 t = 33

Divide both sides of -3 t = 33 by -3:

(-3 t)/(-3) = 33/(-3)

(-3)/(-3) = 1:

t = 33/(-3)

The gcd of 33 and -3 is 3, so 33/(-3) = (3×11)/(3 (-1)) = 3/3×11/(-1) = 11/(-1):

t = 11/(-1)

Multiply numerator and denominator of 11/(-1) by -1:

Answer:  t = -11

ExplanationGiven the equation.

[tex] - 3t + ( - 8) = 25[/tex]

Distribute the plus/positive in the negative. Remember that plus × minus = minus.

[tex] - 3t - 8 = 25[/tex]

Solve for t-term by making t as the subject of equation.

[tex] - 3t = 25 + 8 \\ - 3t = 33 \\ t = \frac{33}{ - 3} \longrightarrow \frac{ \cancel{33}}{ \cancel{ - 3} } = \frac{11}{ - 1} \\ t = - 11[/tex]

Answer Check by substituting the value of t in the equation.

[tex] - 3( - 11) + ( - 8) = 25 [/tex]

Distributing or multiplying both negative, we would get positive.

[tex]33 - 8 = 25 \\ 25 = 25 \: \: \purple{ \checkmark}[/tex]

The equation is true for t = -11. Hence the answer is t = -11.

Answer

[tex] \large \boxed{t = - 11}[/tex]

If you have any questions about the answer, feel free to ask via comment.

Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Show work pls

Answers

help

okay so first add help the subtract help help finally dividing the help^2 equally help/help

Answer:

67.99 or 68

Step-by-step explanation:

1) Take 3/4 and divide 3 into 4 the answer is .75

2) Take 3/8 and divide 3 into 8 answer is .375

3) Round .378 to .38

4) 26.38+ 26.38= 52.76

5) 120.75+52.76= 67.99

There is your answer and explanation. :)

can someone help me out with this ?? if u do thank u so much <3

Answers

Answer:

$169.69

Step-by-step explanation:

for this equation disregard the first # (48)

add all of the amount of square feet from the bathrooms (30.5 + 30.5 + 40.5) which gets you 71

multiply 71 x 2.39 = 169.69

your answer is therefore $169.69

Is (0,1.2) proportional relationship

Answers

no since 0 doesn’t equal anything in the equation

HELP PLZ 30 POINTS UwU

Answers

Angle 1 = 130°

Angle 2 = 124°

Angle 3 = 56°

Angle 4 = 52°

Angle 5 = 72°

Angle 6 = 94°

I primarily used the triangles to get my answers. Remember the angles in a triangle add up to 180°.

Answer:

Angle 1 = 130°

Angle 2 = 124°

Angle 3 = 56°

Angle 4 = 52°

Angle 5 = 72°

Angle 6 = 94°

Step-by-step explanation:

On the beach boardwalk, there were 20 different places
to get food. This year, the boardwalk decided to have
25% more places to get food. How many total places
to get food this year?

Answers

250 total places to get food this year

How many feet does a car traveling at 57 mph cover in one hour? In one minute? In one second?

Answers

Distance cover in feet in one minute and one second are 5,016 feet and 83.6 feet

Given that;

Speed of car travelling = 57 mph

Find:

Distance cover in feet in one minute

Distance cover in feet in one second

Computation:

1 mile = 5280 feet

Speed of car travelling = 57 mph

Speed of car travelling in feet = 57 × 5280

Speed of car travelling in feet = 300,960 feet per hour

Distance cover in feet in one minute = 1 × [300,960 / 60]

Distance cover in feet in one minute = 5,016 feet

Distance cover in feet in one second = 1 × [5016 / 60]

Distance cover in feet in one second = 83.6 feet

Learn more:

https://brainly.com/question/14093917?referrer=searchResults

Plssss help me im trying to get my grade back up :(

Answers

Answer: The answer is C

Sorry if I'm wrong

Can anyone help??
Sort of get it but need answer!

Answers

Answer:

45

Step-by-step explanation:

Angles in a triangle add up to 180 and a right angle (indicated by the square) is 90. So, 180-90=90. The lengths are parallel which means the remaining angles must equal the same. 90/2=45

WHICH NUMBER HAS A 4 IN THE TENS PLACE 3.24 24 4,321 49

Answers

Answer:

49

Step-by-step explanation:

its in the 10s place

hope this helps

writw the equation of the line that passes through the points (-6,-19) and ( 2,5)

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Let's start with the two points.

y = mx + b

-19 = -6m + b

5 = 2m + b

Subtract the first from the second.

24 = 8m

m = 3

5 = 2*3 + b

b = -1

Bakets A, B and C contain balls. There is 23 balls in total
The total number of balls in B and C is 18.
There is 7 more balls in B than A
How many balls are in baskets:
A
B
C

Answers

Total no. of balls in A= 23-18

                                  = 5

No. of balls in B= 5+7

                         = 12

No. of balls in C= 18 - 12

                          = 6

NEED CORRECT ANSWER ASAP!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

its a negative slope, so it can only be c or d. d passes through -7

Multiply and Divide
1/2 + 2/3 ÷ 1/6

Answers

Is 9/2 (4.5)

Explanation :

1/2 + 2/3 x 6

—-

1/2 + 2 x 2

—-

1/2 + 4

gives me 9/2 that’s 4.5

pls help asap will give brainliest

Answers

Answer:

The orange region has an area of 324m²

Step-by-step explanation:

You can calculate this by finding the area of the smaller white rectangle, and subtracting it from the larger orange rectangle.

The smaller rectangle has the dimensions 8m × 5m, giving us 40m².

The larger rectangle is 13m × 28m, giving us the area 364m²

So the orange area is equal to 364m² minus 40m², or 324m²

Answer:

324[tex]cm^{2}[/tex]

Step-by-step explanation:

The are of the shaded region is equal to the area of the big rectangle minus the area of the small rectangle. So the are of the shaded region can be found in a follwoing way

The are of the shaded region = Area of the big rectangle - Area of the small recatngle

The are of the shaded region = 13 x 28 - 5 x 8

The are of the shaded region = 364 - 40

The are of the shaded region = 324[tex]cm^{2}[/tex]

Drag each label to the correct location on the image.
Match each number to the type of notation it is expressed in:
5.91E10
0.0000734
2.66 x 10^-3
641,000,000,000
Standard Notation or Scientific Notation​

Answers

Answer:

See below

Step-by-step explanation:

Given numbers:

5.91E10 0.0000734 2.66 x 10^-3 641,000,000,000

Standard notation:

0.0000734641,000,000,000

Scientific Notation​:

5.91E10 2.66 x 10^-3

Answer:

The guy above me is right

Step-by-step explanation:

Given numbers:

5.91E10

0.0000734

2.66 x 10^-3

641,000,000,000

Standard notation:

0.0000734

641,000,000,000

Scientific Notation​:

5.91E10

2.66 x 10^-3

Which equation represents the line that passes through points B and C on the graph?

Answers

Answer:

i will help but i need to see the options first

Step-by-step explanation:

post another question with options pls

what is the square root of 129876? :)​

Answers

Answer:

360.383129461

Step-by-step explanation:

Answer:

360.383129461

Step-by-step explanation:

.......

what is the value of the y in this equation y + 12 = 12​

Answers

Answer:

y=0

Step-by-step explanation:

y+12=12

12-12=0

so y=0

hope this helps

Find the missing values in the ratio table. pls help

Answers

Answer:

its 7 and 13 becuase 10 minuse 4 is 6 and then i did that with the other two

There is a relationship between the number of hours a plumber works and the amount of money he earns. The plumber earns $60 for every 2 hours he works. Which statement about the relationship and the amount of money the plumber earns is true?

Practice
A
The number of hours the plumber works is the independent variable in the relationship, and he earns $270 for 9 hours of work.

B
The amount of money the plumber earns is the dependent variable in the relationship, and he earns $540 for 9 hours of work.

C
The amount of money the plumber earns is the independent variable in the relationship, and he earns $540 for 9 hours of work.

D
The number of hours the plumber works is the dependent variable in the relationship, and he earns $270 for 9 hours of work.

Answers

Answer:

Step-by-step explanation:

number of hours  worked 2 = money earned $60,

so we can conclude that

the money he earned depend on the hours worked (independent variable) and that

number of hours  worked 1 = money earned $30

A. True

hours worked IS the independent variable

9 hours of work = 9*$30  = $270 IS correct

B. False

money earned IS the dependent variable

9 hours of work is NOT $540

C. False

the money earned is NOT independent

for 9 hour will NOT earn $540

D.True

the number of hours IS dependent variable

the 9 hours of work IS earning $270

help i need to know whats the slope-intercept equation

Answers

Answer:

[tex]y=\frac{-1}{3}x -7[/tex]

Step-by-step explanation:

The answer is: Y=-1/3x-7

You just have to use the equation Y=MX+B. M is the slope and B is the y-intercept. Since the y-intercept in this equation is a negative, the plus sign in the Y=MX+B equation turns into a minus sign.

I need the answer for this its due in 5min

Answers

No it’s not a function

I NEED HELP

What is "y=2(x)+1"

Answers

I dont know what is  What is "y=2(x)+1" i think it might be x3 or somthing tell me if im wrong

Answer:

the slope is 2 but the y-intercept (0,1)

Step-by-step explanation:

Deanna has 80 books in her collection. If 60% of the books are fiction, how many of the books are nonfiction? * 2 points 20 32 48

Answers

Answer:

48 books

Step-by-step explanation:

80 times 0.60 = 48

60% of 80books equals 48 books

So 48 books are nonfiction :)

9514 1404 393

Answer:

  32

Step-by-step explanation:

We must assume that the 40% of books that are not fiction are nonfiction. That 40% of 80 books is ...

  0.40 × 80 = 32 . . . books

Other Questions
Which lists the carbohydrates in order of increasing chemical energy?a.monosaccharides, polysaccharides, disaccharidesb.disaccharides, monosaccharides, polysaccharidesc.polysaccharides, disaccharides, monosaccharidesd.monosaccharides, disaccharides, polysaccharides What is the least number of forces required to stretch a spring? why does Edwards claim that non-believers are accounted spiders in sinners in the hands of an angry God ? wsg fam????????????????????? - Is the point (2,4) a solution of y At a school, there are 526 students and 263 are girls. About how likely is it that a randomly chosen student will be aboy?A. unlikelyB. somewhat likelyC. very likelyD. equally as likely as unlikely Lee has 8 1/4 feet of blue fabric and 4 2/4 of greenribbon. How much more blue fabric does Gina have than greenfabric? AnyoneHelp!!Please I need the answer for today:) 3. How are frog eggs being used in research involving human cells? 30 POINTSdo you think snow is an ionic compound or a covalent compound? explain i need help understanding this plz 10Find the area of the shape.Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.units For the expression y + 6 - 3, determine the coefficient for the variable term. Which is NOT an important line of LATITUDE?a)Tropic of Cancer b)Tropic of Capricornc)The Equatord)International Date Line PLEASE HELP Solve for x. The graph below shows the weekly salaries of two employees based on the number of items sold.SalariesA graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400).Which statement best explains who earns the most money per item sold?Dreya earns the most money per item sold because her line increases at a faster rate than Marshas.Marsha earns the most money per item sold because her line increases at a faster rate than Dreyas.Dreya earns the most money per item sold because her line begins at a higher point than Marshas.Marsha earns the most money per item sold because her line begins at a higher point than Dreyas. Which expressions are polynomials?Select each correct answer. combining like term for 15p + 7q + 5p - 4q a+a+d+a = 11. what are there values who whus thee first govner