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3 June, 07:32

16x + 5y = - 2

4x - y=-2

Find the solution

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Answers (1)
  1. 3 June, 10:45
    0
    x=-1/3

    y=2/3

    Step-by-step explanation:

    16x + 5y = - 2 Equation 1

    4x - y=-2 Equation 2

    This is simultaneous equation, it can be solved using either Elimination method or substitution method. But for the purpose of this question, we would be using elimination Method.

    Multiply equation 2 by 5, the coefficient of y in equation 1. So that y can have the same coefficient, and then it will be eliminated.

    5 (4x - y=-2)

    20x-5y=-10 Equation 3

    We therefore have

    16x + 5y = - 2 Equation 1

    20x-5y=-10 Equation 3

    We add equation 1 and equation 3 to eliminate y

    16x+20x=36x

    5y + (-5y) = 0

    -2 + (-10) = -2-10=-12

    36x=-12

    x=-12/36

    x=-1/3

    Substitute x for - 1/3 in equation 2

    4x-y=-2

    4 (-1/3) - y=-2

    -4/3-y=-2

    -4/3+2=y

    (-4+6) / 3=y

    2/3=y
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