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25 September, 02:45

Equation A=8x-6y=-20 Equation B=-16x+7y=30

The two equations represent a system of linear equations. What is the solution to this system of linear equations

A: (-2,-1) B: (1,2)

C: (-1,2) D: (2,-1)

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Answers (1)
  1. 25 September, 03:06
    0
    C: (-1,2)

    Step-by-step explanation:

    This is a system of linear equations and can be solved by elimination method.

    Step 1

    A=8x-6y=-20

    B=-16x+7y=30

    Multiply equation A by 7 and equation B by - 6

    7A=56x-42y=-140

    -6B=96x-42y=-180

    Step 2

    Eliminate the term that has y by subtracting each term in equation A from each corresponding term in equation B

    40x=-40

    Step 3

    Divide both sides of the equation by 40, the coefficient of x in order to find the value of x

    40x/40=-40/40

    x=-1

    Step 4

    Put x=-1 in equation B

    B=-16x+7y=30

    -16 (-1) + 7y=30

    16+7y=30

    Step 5

    Collect like terms by subtracting 16 from both sides

    16+7y-16=30-16

    7y=14

    Step 6

    Divide both sides of the equation by 7, the coefficient of y

    7y/7=14/7

    y=2

    Therefore, the solution to the system of equations is

    (-1, 2)
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