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6 November, 11:01

Solving systems of equations

y = x + 2

y = 3x - 2

+2
Answers (1)
  1. 6 November, 11:10
    0
    x = 2

    y = 4

    Step-by-step explanation:

    y = x + 2

    y = 3x - 2

    From equation one, y = x + 2

    So, substitute x + 2 for y into equation two

    We have

    x + 2 = 3x - 2

    Add 2 to both sides of the equation

    x + 2 + 2 = 3x - 2 + 2

    x + 4 = 3x

    Subtract x from both sides

    x - x + 4 = 3x - x

    4 = 2x

    Divide both sides by by 2

    4/2 = 2x/2

    2 = x

    x = 2

    Substitute 2 for x in either of the equations to get y.

    Using the first equation, we have

    y = 2 + 2

    y = 4
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