Which of the following steps would you perform to the system of equations below so that the equations have equal x coefficients? 4x+2y=4

Question

Which of the following steps would you perform to the system of equations below so that the equations have equal x coefficients? 4x+2y=4 12x+y=22 A. Multiply both sides of the top equation by 3 B. Divide both sides of the top equation by 3 C. Divide both sides of the bottom equation by 2 D. Multiply both sides of the bottom equation by 3​

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RobertKer 5 years 2021-08-06T11:40:35+00:00 1 Answers 113 views 0

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  1. giabao
    0
    2021-08-06T11:41:54+00:00
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    Answer: A.

    Explanation:
    By multiplying the top equation by 3, you now have

    12x + 6y = 12
    12x + y = 22

    To completely solve the equation, you multiply the whole bottom equation by -1.

    12x + 6y = 12
    -12x – y = -22

    The -12x and 12 x cancel each other out.

    6y = 12
    -y = -22
    ______
    5y = -10
    y = -2

    Now that you have the value of y, you can plug it into the original equation.

    4x + 2y = 4
    4x + 2(-2) = 4
    4x – 4 = 4
    4x = 8
    x = 2

    So, your final answer is (2, -2).

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