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Solve by the substitution method. What is the solution of the system?
3x+9y=48
-6x+y=56

  • math -

    To use the substitution method, you solve one equation for x, and then substitute that expression for x in the other equation. or, you can solve for y if it's easier.

    3x + 9y = 48
    3x = 48 - 97
    x = 16 - 3y

    -6x + y = 56
    -6(16-3y) + y = 56
    -96 + 19y = 56
    19y = 152
    y = 8
    so,
    x = 16 - 24 = -8

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