SOLVE y = 3x – 2 x – y = 4 BY USING SUBSTITUTION!! SHOW ALL WORK! HELPPP!

Question

SOLVE y = 3x – 2 x – y = 4 BY USING SUBSTITUTION!! SHOW ALL WORK! HELPPP!

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Raelynn 1 week 2021-09-11T02:20:58+00:00 1 Answer 0

Answers ( )

    0
    2021-09-11T02:22:37+00:00

    Answer:

    (-1,-5)

    Step-by-step explanation:

    So we have the system:

    y=3x-2

    x-y=4.

    We are asked to use substitution. Luckily, it is already setup for this because one of the equations has one of the variables solved for, namely the y=3x-2 equation.  We are going to insert y=3x-2 into x-y=4 and solve for x.

    x-y=4  (with y=(3x-2) ):

    x-(3x-2)=4

    Distribute:

    x-3x+2=4

    Combine like terms:

    -2x+2=4

    Subtract 2 on both sides:

    -2x    =2

    Divide both sides by -2:

     x     =-1

    Now if y=3x-2 and x=-1, then y=3(-1)-2=-3-2=-5.

    So the solution is (-1,-5).

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