Solve the system of equations : 2x -5y=-22 X+7y=27

Question

Solve the system of equations :
2x -5y=-22
X+7y=27

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Genesis 7 months 2021-10-07T09:23:37+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-07T09:24:50+00:00

    Answer:

    x=−1 y=4

    Step-by-step explanation:

    Let’s solve your system by substitution.

    2x−5y=−22; x+7y=27

    Rewrite equations:

    x+7y=27;2x−5y=−22

    Step: Solve x+7y=27for x:

    x+7y=27

    x+7y+−7y=27+−7y(Add -7y to both sides)

    x=−7y+27

    Step: Substitute−7y+27 for x in 2x−5y=−22:

    2x−5y=−22

    2(−7y+27)−5y=−22

    −19y+54=−22(Simplify both sides of the equation)

    −19y+54+−54=−22+−54(Add -54 to both sides)

    −19y=−76

    −19y

    −19

    =

    −76

    −19

    (Divide both sides by -19)

    y=4

    Step: Substitute 4 for y in x=−7y+27:

    x=−7y+27

    x=(−7)(4)+27

    x=−1(Simplify both sides of the equation)

    0
    2021-10-07T09:25:09+00:00

    The answer/ solution for the system of equations is: x=-1 y=4

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