Question

(08.03 MC)

A system of equations is shown below:

y = 3x – 7
y = 2x + 1

What is the solution to the system of equations? (1 point)


A. (8, 17)

B. (–8, 17)

C. (–8, –17)

D. (8, –17)

Answer 1

I believe the answer is (8 , 17)

Answer 2

(8, 17)

Explanation:

Here you have two functions equalling y.

To find x, we set these two functions equal to one another, which eliminates y:

3x - 7 = 2x + 1.

Find x. To do this, subtract 2x from both sides, obtaining x - 7 = 1.

Next, add 7 to both sides: x = 8.

Finally, find y. Do this by subbing 8 for x in either of the two given equations.

Working with the 2nd equation: y = 2(8) + 1 = 17

Thus, the solution is (8, 17).