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29 May, 11:54

How do you substitute 3x-12y=-6 and x-4=-8?

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  1. 29 May, 15:13
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    x - 4 = - 8 add 4 to both sides

    x = - 4

    Put the value of x to the first equation 3x - 12y = - 6:

    3 (-4) - 12y = - 6

    -12 - 12y = - 6 add 12 to both sides

    -12y = 6 divide both sides by (-12)

    y = - 0.5

    Answer: x = - 4 and y = - 0.5

    New question:

    x - 4y = - 8 add 4y to both sides

    x = 4y - 8

    Substitute it to the first equation:

    3 (4y - 8) - 12y = - 6 use distributive property

    (3) (4y) + (3) (-8) - 12y = - 6

    12y - 24 - 12y = - 6

    -24 = - 6 FALSE

    Answer: No solution.
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