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27 April, 02:58

What is the solution to the system of equations? 2x + 4y=12

y = 1/4x - 3

A. (-1,8)

B. (8,-1)

C. (5, 1/2)

D. (1/5, 5)

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Answers (2)
  1. 27 April, 04:18
    0
    Choice B is the correct answer.

    Step-by-step explanation:

    We have given two equations.

    2x + 4y=12 eq (1)

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

    We have to find the solution of given equation.

    Putting eq (2) in eq (1), we have

    2x+4 (1/4x-3) = 12

    2x+x-12 = 12

    3x = 12+12

    3x = 24

    x = 8

    Putting the value of x in eq (2), we have

    y = 1/4 (8) - 3

    y = 2-3

    y = - 1

    Hence, the solution is (8,-1).
  2. 27 April, 06:25
    0
    B. (8,-1)

    Step-by-step explanation:

    Solving the equations simultaneously;

    2x + 4y=12

    y = 1/4x - 3

    We can use substitution method;

    2x + 4 (1/4x-3) = 12

    2x + x - 12 = 12

    3x = 24

    x = 8

    but y = 1/4x-3

    = 1/4 (8) - 3

    = 2 - 3

    = - 1

    Therefore; x = 8 and y = -1

    Hence the answer is B. (8,-1)
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