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