Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Question

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

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Bình An 4 years 2021-09-03T19:36:04+00:00 1 Answers 5 views 0

Answers ( )

  1. ngocdiep
    0
    2021-09-03T19:37:59+00:00
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    Answer:

    (2, 8)

    Step-by-step explanation:

    Given the system of equation

    3x+2y=22  … *4

    -4x+3y=16 …. *3

    Using the elimination method

    12x + 8y = 88

    -12x + 9y = 48

    Add

    8y + 9y = 88+48

    17y = 136

    y = 136/17

    y = 8

    Recall that

    3x+2y=22

    3x+2(8)=22

    3x + 16 = 22

    3x = 22-16

    3x = 6

    x = 6/3

    x = 2

    Hence the required solution (x, y) is (2, 8)

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