math

solve the system of equations by elimination.
3x-4y=22
2x+5y=7

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  1. 3x - 4y = 22
    2x + 5y = 7

    To eliminate variable x,
    Multiply by -2 (3x - 4y = 22)
    Multiply by 3 (2x + 5y = 7)

    Add equations
    -6x + 8y = -44
    6x + 15y = 21
    0 + 23y = -23
    23y = -23
    y = -1

    To find x,
    substitute y = -1, in 2x + 5y = 7
    2x + 5y = 7
    2x - 5 = 7
    2x = 12
    x = 6

    x = 6, y = -1

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  2. x=6

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  3. 3x+4y=-22

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