Question

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

5x + 3y = 31
2x + 3y = 25

Answer 1

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).