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24 April, 12:42

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

2y + 4x = 18

2y - 3x = 4

A. (6, - 3)

B. (5, - 1)

C. (2, 5)

D. (3, 3)

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Answers (1)
  1. 24 April, 14:09
    0
    Option C is right answer.

    Step-by-step explanation:

    Given two equations as

    2y + 4x = 18

    2y - 3x = 4

    We have to use substitution method.

    From first equation find the value of y.

    2y = 18-4x

    Or y = 9-2x

    Substitute this in II equation.

    2 (9-2x) - 3x = 4

    18-4x-3x = 4

    -7x = 4-18 = - 14

    Divide by - 7

    x = 2

    Since y = 9-2x, substitute x=2 to get y

    y = 9-2 (2) = 5

    Answer is (2,5)

    To verify:

    Substitute (2,5) in the given two equations to check.

    2 (5) + 4 (2) = 18 is right

    2 (5) - 3 (2) = 4 is also right.

    Hence solution is (2,5)
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