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solve using the elimination method.show your work. if the system has no solution or infintite number of solutions, state this 4x-6y=30, 3x-5y=24

  • math -

    4x-6y=30
    3x-5y=24

    (4x-6y=30) Multiply with 3

    12x-18y=90

    (3x-5y=24) Multiply with 4

    12x-20y=96

    Now you have System:

    12x-18y=90
    12x-20y=96

    Subtracting 12x-18y=90 from 12x-20y=96 gives:

    12x-12x-18y-(-20y)=90-96
    0-18y+20y= -6
    2y= -6 Divide with 2

    y= -3

    4x-6y=30
    4x-6*(-3)=30
    4x+18=30
    4x=30-18
    4x=12 Divide with 4

    x=3

    OR

    3x-5y=24
    3x-5*(-3)=24
    3x+15=24
    3x=24-15
    3x=9 Divide with 3

    x=3

    Solution is: x=3 y= -3

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