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Algebra

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Solve: x-3y=-9
4x+3y=-6

  • Algebra - ,

    x - 3y = -9
    -3y = -9 - x Multiply with -1

    3y = 9 + x

    4x + 3y= -6

    4x + 9 + x = -6

    5x + 9 = -6

    5x = -6 - 9

    5x = -15 Divide with 5

    x= -15/5

    x= -3

    3y=9 + x

    3y = 9 +(-3)

    3y = 9 - 3

    3y = 6 Divide with 3

    y = 6/3

    y= 2


    Solution:

    x = -3

    y = 2

  • Algebra - ,

    If we note that there is a +3y and a -3y in each of the equations, we simply add the two equations to get:
    5x=-15, or x=-3
    Substitute x=-3 in either one of the equations to get
    -3-3y=-9
    -3y=-6
    y=2

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