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30 June, 10:10

Solve each system by graphing, check your answer

Y=3x+13

Y=x-3

+1
Answers (1)
  1. 30 June, 10:54
    0
    x = - 8

    Y = - 11

    Step-by-step explanation:

    Given

    Y = 3x + 13

    Y = x - 3

    Substitute x - 3 for Y in the first equation

    We have

    Y = 3x + 13

    x - 3 = 3x + 13

    Add 3 to both sides

    x - 3 + 3 = 3x + 13 + 3

    x = 3x + 16

    Subtract 3x from both sides

    x - 3x = 3x - 3x + 16

    -2x = 16

    Divide both sides by - 2

    x = 16/-2

    x = - 8

    Now substitute - 8 for x in any of the above equations to get Y.

    Using the second equation, we have

    Y = x - 3

    Y = - 8 - 3

    Y = - 11
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