Use the substitution method to find the solution to the system of linear
equations.
y = -x + 1
y= 2x– 8

therefore the value of x = 3 and y = -2

Step-by-step explanation:

using substitution method in solving the following equation

let

y = -x + 1   equation 1

y= 2x– 8 equation 2

substitute for  1 in equation 2 i.e put the value of y in equation 1 to value of y in equation 2

y= 2x– 8 equation 2

-x + 1 = 2x - 8

by collecting the like terms

1 + 8 =2x + x

9 = 3x

divide both sides by 3

we have

9/3 = 3x/3

3 = x

therefore  x = 3

put x = 3 in equation 1

y = -x + 1   equation 1

y = -(3) + 1

y = -2

therefore the value of x = 3 and y = -2

to check if your answer is correct

put the value of x and y in either equation one or 2

y= 2x– 8 equation 2

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 proved