math(algebra 1)

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how do u answer this? please step by step
*graph and check to solve the linear system
y=-x+3
y=x+1
Thank you very very much!!! :)

  • math(algebra 1) -

    y = -x + 3
    y = x + 1

    rewrite
    y + x = 3
    y - x = 1

    to eliminate the variable x, add the 2 equations together. Since x + -x = 0, the x variable is eliminated

    ADD
    y + x = 3
    y - x = 1
    2y = 4
    y = 2

    to find x, substitute y = 2 in
    y + x = 3
    2 + x = 3
    x = 1

    CHECK
    x = 1, y = 2
    y - x = 1
    2 - 1 = 1
    1 = 1

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