Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2y + 4x = 18 2y

Question

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)

0

Answers ( No )

    0
    2021-11-23T19:26:03+00:00

    Answer:

    C. (2,5)

    Step-by-step explanation:

    0
    2021-11-23T19:26:32+00:00

    Answer:

    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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