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

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Amelia 3 weeks 2021-09-26T03:20:31+00:00 1 Answer 0

Answers ( )

    0
    2021-09-26T03:22:09+00:00

    Answer:

    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

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