6y-8x=14 and y=x+5, What is the solution to this system of equations?

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6y-8x=14 and y=x+5, What is the solution to this system of equations?

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    0
    2021-09-19T07:05:27+00:00

    6y-8x=14
    Replace y with y=x+5
    6(x+5) – 8x= 14
    Simplify
    6x+30-8x=14
    Add common factors
    -2x+30=14
    Subtract 30 from both side
    -2x= -16
    Divide both sides by -2
    x=8
    Now solve for y by replacing x with 8
    y=8+5
    y=13
    Solution to the system of equations is (8,13)

    0
    2021-09-19T07:05:45+00:00

    6y-8x=14(1)
    Y=x+5(2)

    6y-8x=14(3) ×1
    Y-x=5(4)×6
    6y-8x=14
    6y-6x=30

    -2x=16
    X=8

    Put x into equation 1
    6y-8x=14
    6y-8(8)=14
    6y-64=14
    6y=14+64
    6y=78
    6y=78
    Y=13

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