All categories

2 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Mathematics

1 answer:

Phoenix [80]2 years ago

7 0

For this problem I would change:

2x + 3y = 25 into

-2x - 3y = -25

Then, I would add up both equations by lining them up top of another.

5x + 3y = 31
+ -2x - 3y = -25

3x = 6
x = 2

Now that you have x, solve for y.

5x + 3y = 31

5(2) + 3y = 31

10 + 3y = 31

3y = 21

y = 7

So, x is 2 and y is 7.

Check to see if the values are correct by plugging them into the other equation.

2x + 3y = 25

2(2) + 3(7) = 25

4 + 21 = 25

25 = 25

Since the values are correct, the solution to this problem is A (2, 7).

You might be interested in

Which number is a common denominator of 5/6 and 11/12

koban [17]

5/6

Step-by-step explanation:

5 0

3 years ago

What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)

tekilochka [14]

Answer:

$3x-2y+8=0$

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

$\frac{4-1}{0-(-2)} = \frac{3}{2}$

The slope of the line that goes through the points (x, y) and (0, 4) is

$\frac{4-y}{0-x} = \frac{4-y}{-x}$

So $\frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0$

5 0

2 years ago

Check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys.

Vilka [71]

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

+12 +12

4Z=28

Z=7

3 0

2 years ago

Read 2 more answers

What is the difference between y=-2x+3 and the equation in the problem: y = -1.5x + 3?

Ostrovityanka [42]

Answer:

The slope would be different

Step-by-step explanation:

The value by the x is different in both equations while everything else is the same

5 0

2 years ago

Read 2 more answers

A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a

3241004551 [841]

The length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears $100$ times large than its original size.

It is given that the length of a insect is $0.095$ centimeter.

This question is based on the concept of multiplication of decimals.

Consider the length of the insect as $x\text{ cm}$ .

Since, the length of insect is $0.095$ centimeter so, trhe value of $x$ is $0.095$ .

As per the question the size of the final image is $100$ times large as the original size so, the size of final image is calculated as follows:

$\boxed{S=x\times 100}$

Substitute $0.095$ for $x$ in the above equation.

$\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}$

From the above calculation it is concluded that the length of the insect in the final image is $9.5\text{ centimeter}$ .

Therefore, the length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

5 0

3 years ago

Read 2 more answers