- 2x + 5y = -15 How many solutions does the system have? V exactly one The solution to the system is 5x + 2y = -6 How could you solve this system using elimination? Check all that apply. * Multiply the first equation by 2 and the second equation by 5, then add. Multiply the first equation by 5 and the second equation by 2. Then add. Multiply the first equation by 2 and the second equation by 5, then subtract. Multiply the first equation by 5 and the second equation by 2, then subtract.

Answers

Answer 1

Answer:

Multiply the first equation by 5 and the second equation by 2. Then add.

Multiply the first equation by 2 and the second equation by 5, then subtract.

Step-by-step explanation:

Given

[tex]- 2x + 5y = -15[/tex]

[tex]5x + 2y = -6[/tex]

Required

Steps to solve using elimination method

From the list of given options, option 2 and 3 are correct

This is shown below

Option 2

Multiply the first equation by 5

[tex]5(- 2x + 5y = -15)[/tex]

[tex]-10x + 25y = -75[/tex]

Multiply the second equation by 2.

[tex]2(5x + 2y = -6)[/tex]

[tex]10x + 4y = -12[/tex]

Add

[tex](-10x + 25y = -75) + (10x + 4y = -12)[/tex]

[tex]-10x + 10x + 25y +4y = -75 - 12[/tex]

[tex]29y = -87[/tex]

Notice that x has been eliminated

Option 3

Multiply the first equation by 2

[tex]2(- 2x + 5y = -15)[/tex]

[tex]-4x + 10y = -30[/tex]

Multiply the second equation by 5

[tex]5(5x + 2y = -6)[/tex]

[tex]25x + 10y = -30[/tex]

Subtract.

[tex](-4x + 10y = -30) - (25x + 10y = -30)[/tex]

[tex]-4x + 25x + 10y - 10y= -30 +30[/tex]

[tex]21x = 0[/tex]

Notice that y has been eliminated

Answer 2

Answer:

How many solutions does the system have?

✔ exactly one

The solution to the system is

(

⇒ 0,

⇒ -3).

Step-by-step explanation:

the next two parts


Related Questions

The green shaded region does not represent the
solution to the system of linear inequalities given
below. Explain why not.
y²2
35x+2y= 20

Answers

Answer:

Step-by-step explanation:

Region represented by the inequality y ≥ 2 will be the area above the dark line y = 2.

Equation of the other line is,

3.5x + 2y ≤ 20

2y ≤ 20 - 3.5x

y ≤ -1.75x + 20

Shaded region representing the solution of the inequality will be below the solid line y ≤ -1.75x + 20.

Therefore, solution of the system of inequalities will be the common region of both the colors in the graph attached.

Graph of the question will not represent the solution of the system of inequalities.

Answer:

The blue line should be solid because the inequality has “or equal to.” The green shading should be on the other side of the blue line. The blue line should be part of the solution set.

Step-by-step explanation:

this is the sample answer you will get it right

What will be the coordinates of point N after a 270° counterclockwise rotation about the origin?

Answers

Answer:

N(-4, 1)

Step-by-step explanation:

Counterclockwise means anti clockwise.

Now, when rotated by 90° about the origin, the point N will be in the second quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated counterclockwise by another 90°, it will be at the first quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated another 90°, it will be located in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Thus, after 270° N will be in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Therefore, the coordinates of N at that point will be;

On x - axis: -4 units

On y - axis: 1 unit

Thus coordinates are;

N(-4, 1)

Need help soon please and that’s question 6

Answers

Answer:

16

Step-by-step explanation:

H = (-16) × (1-2)2 + 64

=(-16) × (1-4) + 64

=(-16) × 3 + 64

=(-48) + 64

=16

Can someone help me

Answers

What’s the value of x?

Ten more than 6 times a number is 4 less than 4 times the number.

Answers

Answer: X = -7

Step-by-step explanation:

the number is represented as X

6x + 10 = 4x - 4

solve your equation by subtracting 10 on both sides to make -4 -14

6x = 4x - 14

subtract 4x on both sides to get 2x

2x = -14

divide -14 by 2x

x = -7

Check it by plugging it in the equation

-42 + 10 = -28 - 4

-32 = -32

Answer:

-7

From:iOE Your friend*Be awesome Be you* :D :)

If n = 4, all of the following expressions are equivalent except _____.
16
n -2
1/16
1/n^2

Answers

Answer:

Its 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

n -2 is 1/16

1/16

1/n^2 is 1/16

help please I will give points​

Answers

Answer:

D

Step-by-step explanation:

7/10 + 2/5 + 3/4

Convert to common denominator

14/20 + 8/20 + 15/20 = 37/20

Convert to mixed number

1 17/20

Which of the following is a rational number? (5 points)

square root of 22, square root of 23, square root of 24, square root of 25 Which of the following is a rational number? (5 points)

Answers

Answer:

square root of 25

Step-by-step explanation:

Answer:

Square foot of 25

Step-by-step explanation:

I took the test and got it right!

A city known for its temperature extremes started the day at -5 degrees Fahrenheit. The temperature increased by 78 degrees Fahrenheit by midday, and then dropped 32 degrees by nightfall. What expression can you write to find the temperature at nightfall?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting temperature = - 5°F

Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)

Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)

Temperature at midday:

(-5°F + 78°F) = 73°F

Temperature at nightfall:

(Temperature at midday - 32°F)

(73°F - 32°F) = 41°F

forty five thousand six and seventy seven hundredths in number form!!!!!!! neeeeeed help pleaseeeeeeeeeeeeee

Answers

Answer:

as in a decimal? or a regular number?

Step-by-step explanation:

456.70 i think

1) If 2x + 3y = 12 and xy = 6, find the value of 4x2 +9y2.​

Answers

Answer:

72

Step-by-step explanation:

Given that 2x + 3y = 12 , then

(2x + 3y)² = 12² = 144 ← distribute left side using FOIL

4x² + 12xy + 9y² = 144 ( subtract 12xy from both sides )

4x² + 9y² = 144 - 12xy = 144 - 12(6) = 144 - 72 = 72

how much is 36 pages in 4 hours in ratios

Answers

Answer:

9/1

Step-by-step explanation:

Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
Write down the upper bound for the distance of 100 metres.

Answers

Answer:

Upper bound for distance = 100.49. This is the highest number that you can round up to get 10.52.

Lower bound for time = 10.515 seconds. This is the lowest number that you can round up to get 10.52.

Upper bound for average speed = Upper bound for distance divided by upper bound for time.

100.49/10.5249 = 9.548 seconds.

Lower bound for average speed = Lower bound for distance divided by lower bound for time.

99.5 / 10.515 = 9.463 seconds.

Step-by-step explanation:

Hope this helps you out.

The upper bound for the distance of 100 metres is 100.4 meters.

What is meant by rounding off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Given:

Kelly runs a distance of 100 metres in a time of 10.52 seconds.

The upper bound represents the highest number, to which round off can be done to the nearest unit.

We have distance of 100 metres

So, the upper bound for the distance is 100.4 meters.

Hence, the upper bound for the distance is 100.4 meters.

Learn more about rounding off here:

https://brainly.com/question/13391706

#SPJ2

Convert the following angle from degrees to radians. Express your answer in simplest form. 690∘

Answers

23π / 6 radians is equivalent to the 690-degrees.

To convert degrees to radians, we use the formula:

radians = degrees × π / 180

Therefore, for 690 degrees:

radians = 690 × π / 180

Simplifying this expression:

radians = 23π / 6

Therefore, 690 degrees is equivalent to 23π / 6 radians.

Learn more about unit conversion here:

https://brainly.com/question/19420601

#SPJ1

-3x – y — X

We are doing combining like terms in math and I’m stuck on this question

Answers

Answer:

-4x -y :)

Step-by-step explanation:

Answer: -4x-y
Explanation: you would add -3x to x because you are combining like terms and then just subtract the y like usual. Hope I helped :)

I need help on this plsss:)

Answers

Answer:

x=6.5

Step-by-step explanation:

5+1=6

39 divided by 6 equals 6.5.

Could I please have BRAINLIEST.

Segment AB has endpoints at −2 and 12. What is the coordinate of its midpoint?

Answers

Hi there!

[tex]\large\boxed{5}[/tex]

Find the midpoint using the midpoint formula:

m = (p1 + p2) / 2

m = (-2 + 12) / 2

m = 10 / 2

m = 5.

F(x)=-x²+9x given the function below, find f(7)

Answers

Answer:

f(7)=112

Step-by-step explanation:

f(7)=[tex]-x^{2}[/tex]+9x

f(7)=[tex]-7^{2}[/tex]+9(7)

f(7)=49+63

f(7)=112

Alex and Dee are 28 mi. apart. They are paddling towards each other. Alex paddles at 4mph and Dee paddles at 3mph. How long will it take them to meet?

Answers

Answer: 4 hours

Step-by-step explanation: Add up 4 + 3 and then divide that number into 28.

28/7 = 4

Choose the best answer.
1 point
A store sold $325 of strawberries and
blueberries. It sold x pints of strawberries
and y pints of blueberries. The store
charged $3 per pint for strawberries and
$5 per pint for blueberries. Which equation
represents the relationship among pints of
strawberries, pints of blueberries, and the
total amount of money?
A.
3x + 5y - 325
B. 5x + 3y = 325
C. 8(x + y) = 325
D. 4(x + y) = 325

Answers

Answer:

B. 5x+3y=325

Step-by-step explanation:

the total value of the strawberries and blueberries sold is equal to 325. we have to multiple the variable for each fruit with the amount its sold for in order to get this equation.

find the least common multiple of 7 and 9

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

The midpoint of AB is M(-6, -6). If the coordinates of A are (-4-8), what are
the coordinates of B?

Answers

Answer:

The coordinates of B are (-8,-4)

Step-by-step explanation:

Midpoint of a segment

Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

[tex]\overline{AM}=\overline{MB}[/tex]

Applying that relation in both axes separately, we can write:

[tex]x_A-x_M=x_M-x_B[/tex]

[tex]y_A-y_M=y_M-y_B[/tex]

Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:

[tex]x_B=2x_M-x_A[/tex]

[tex]y_B=2y_M-y_A[/tex]

Plugging in the known values:

[tex]x_B=2(-6)-(-4)=-12+4=-8[/tex]

[tex]y_B=2(-6)-(-8)=-12+8=-4[/tex]

The coordinates of B are (-8,-4)

Which of the following is a solution of the equation 9 - 2x = -1?

(A) -5
(B) 5
(C) 4
(D) -4

Answers

x=5 which is choice B .

Answer: B) X = 5

Step-by-step explanation:

You need to get x by itself to find the solution, that means adding/subtracting anything around it first which is 9.

your new equation would be -2x = -10

to get x completely alone, divide it by -2 and divide the other side, it makes x = 1 which is how to solve for it, when you divide -10 by it you get the answer of x = (B) 5

Jenny writes 85 pages in 5 hours.
How long will it take her to write 408 pages? Show work.

Answers

Answer:

24

Step-by-step explanation:

Divide the amount of time (5) by the amount being made (85)

Then Multiply it by the new number and pages made (408)

It comes out to be 24

You have to divide 85 by 5 then you get 17. Next you divide 408 by 17 and you answer should be 24.

The students at Woodward elementary voted for school mascot. The falcon won with 5/8 of the votes. If 536 students voted for a mascot, how many students voted for the falcon?

Answers

The answer equals 335

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number minus 1.

Answers

It would x-1 I believe

Three times the sun of a number and 10 is 24

Answers

Answer:

Equation: 3x +10=24

x= 4.6

Step-by-step explanation:

3x+10=24 (-10 on both sides of equation)

3x=14 (divide both sides by 3)

x=4.666 or 4.6 with the repeating symbol above the six

( Will give Brainliest) Please Helpp
Solve the equation and determine that this equation has one/no/infinitely many solutions.

3x -1= 1-3x

Answers

Answer:

x = 1/3

There is one solution

Step-by-step explanation:

3x -1= 1-3x

Add 3x to each side

3x+3x -1= 1-3x+3x

6x-1 =1

Add 1 to each ide

6x-1+1 = 1+1

6x =2

Divide each side by 6

6x/6 = 2/6

x = 1/3

There is one solution

Answer:

x = [tex]\frac{1}{3}[/tex] One solution

Step-by-step explanation:

3x - 1 = 1 - 3x

Add 1 to both sides;

3x = 2 - 3x

Add 3x to both sides;

6x = 2

Divide both sides by 6;

x = [tex]\frac{2}{6}= \frac{1}{3}[/tex]

One solution

Two angles are given as complementary. The larger angle is twice the measure of the smaller angle. What is the measure of the smaller angle?

Answers

Answer:

Complentary = angle add up to 90 degrees

let smaller angle = x

x+2x=90

3x=90

x=30

-----

30 is the measure of the smaller angle.

PLZ HELP!

Find the slope of the line that passes through (8,4) and (5, 3).

Answers

Answer:

The answer is

[tex] \frac{1}{3} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,4) and (5, 3).

The slope is

[tex]m = \frac{3 - 4}{5 - 8} = \frac{ - 1}{ - 3} = \frac{1}{3} \\ [/tex]

We have the final answer as

[tex] \frac{1}{3} \\ [/tex]

Hope this helps you

Step-by-step explanation:

Hey there!

Here;

The given coordinates are(8,4) and (5,3).

Use slope formulae.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{3 - 4}{5 - 8} [/tex]

Simplify it to get answer.

[tex]m = \frac{ - 1}{-3} [/tex]

Therefore the slope is, 1/3.

Hope it helps....

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