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9 June, 18:50

Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x - 14y = - 68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (,

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  1. 9 June, 19:57
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    x=0.5 and y=5

    Step-by-step explanation:

    8x+7y=39 ... eqn (1) * -14

    4x-14y=-68 ... eqn (2) * 7

    we now have,

    -112x-98y=-546

    - (28x-98y=-476)

    -140x:-140 = -70:-140

    x=0.5

    to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want ...

    so I'm using eqn 1.

    8x+7y=39

    8 (0.5) + 7y=39

    7y=39-4

    7y:7=35:7

    y=5

    therefore, x=0.5, y=5

    proof: substitute both x and y values to get you the same answer as the original solutions in both equations.

    we have,

    8 (0.5) + 7 (5) = 39

    4 (0.5) - 14 (5) = -68
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