Solve the system of equations. 4x – 4y = 10 3x + 2y = 5 ANSWER CHOICES (2, -1/2) (1, 1) (3, -2) (3,1/2 )

Question

Solve the system of equations. 4x – 4y = 10 3x + 2y = 5
ANSWER CHOICES
(2, -1/2)
(1, 1)
(3, -2)
(3,1/2 )

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Piper 1 week 2021-09-15T22:05:53+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T22:07:31+00:00

    Answer:

    A) (2, -1/2)

    Step-by-step explanation:

    Start with one equation and isolate a variable:

    4x – 4y = 10

    4x – 4x – 4y = 10 – 4x

    -4y = 10 – 4x

    -4y/-4 = 10/-4 – 4x/-4

    y = -2 1/2 + x

    Now plug this in for y in the other equation:

    3x + 2(-2 1/2 + x) = 5

    3x – 5 + 2x = 5

    5x – 5 = 5

    5x – 5 + 5 = 5 + 5

    5x = 10

    5x/5 = 10/5

    x = 2

    Right here we can tell your answer is A since it is the only one with 2 as the x-value

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