Question

What is the solution for the system of equations? Use the substitution method to solve. y=5−3x5x−4y=−3 Enter your answer in the boxes.

Answer 1

$y=5-3x\\5x-4y=-3\\\\5x-4(5-3x)=-3\\5x-20+12x=-3\\17x-20=-3\\17x=-3+20\\17x=17\\x=17/17\\x=1\\\\y=5-3x\\y=5-3(1)\\y=5-3\\y=2\\\\5x-4y=-3\\5(1)-4(2)=-3\\5-8=-3\\-3=-3$

So:

$x=1$

$y=2$