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14 February, 22:51

Solve by elimination method - > x/10+y/5=1, x/8+y/6=15

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  1. 15 February, 01:51
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    x=340

    y=-165

    Step-by-step explanation:

    x/10+y/5=1 Equation 1

    x/8+y/6=15 Equation 2

    Using elimination method, we multiply equation 1 by 1/6, the coefficient of y in equation 2 and then also multiply equation 2 by 1/5, the coefficient of y in equation 1, this will make you have the same coefficient and then easy to eliminate.

    1/6 (x/10+y/5=1)

    x/60+y/30=1/6 Equation 3

    1/5 (x/8+y/6=15)

    x/40+y/30=15/5

    x/40+y/30=3 Equation 4

    We subtract equation 3 from equation 4 to eliminate y

    x/40-x/60 = (3x-2x) / 120 = x/120

    y/30-y/30

    3-1/6 = (18-1) / 6 = 17/6

    We now have

    x/120=17/6

    Cross multiply

    6x=2040

    Divide both sides by 6

    6x/6=2040/6

    x=2040/6

    x=340

    Substitute x for 340 in equation 1

    x/10+y/5=1

    340/10+y/5=1

    34+y/5=1

    y/5=1-34

    y/5=-33

    Cross multiply

    y=-33 (5)

    y=-165
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