Question

Use the substitution method to solve the system of equations.

2x – 7y = 1
x – 8y = –4

Answer 1

x = 8y - 4
2(8y - 4) - 7y = 1
16y - 8 - 7y = 1
9y = 9
y = 1
x = 8(1) - 4)
x = 4
(4, 1)

Answer 2

x-8y=-4
x=8y-4
substitute x in 1st equation to get y value then substitute y value in one of the equation

Answer 3

to use substitution we need to solve one of those equations for one of the variables. lets solve the second equation for x since that looks easy. we get:

x=8y-4

now we can plug that into our original equation

Answer 4

by orginal i meant first. that wil give us:

2(8y-4)-7y=1

16y-8-7y=1

9y=9

y=1

Answer 5

plug that back in to your solution for x and get:

x=8-4

x=4

so your answer is x=4 y=1