Question

What is the solution to the system of equations?

{y=5x−10
{y=−3x+14
Enter your answer as the correct ordered pair, like this: (42, 53)

Answer 1

multiply the second equation by -1, you get

y=5x-10

-y=3x-14

add both of the equations together

0=8x-24

then

24=8x

x=3

to find y replace x in one of the original equations

y=5x-10

y=5(3)-10

y=15-10

y=5

(x,y)

(3,5)