Use the substitution method to find the solution to the system of linear equations. y = -x + 1 y= 2x– 8 Question Use the substitution method to find the solution to the system of linear equations. y = -x + 1 y= 2x– 8 in progress 0 Math Amelia 3 weeks 2021-09-26T03:20:31+00:00 2021-09-26T03:20:31+00:00 1 Answer 0

## Answers ( )

Answer:therefore the value of x = 3 and y = -2Step-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 = -2therefore the value of x = 3 and y = -2to 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