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Question

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Solve the following system of equations by the substitution method.
8x = 2y + 5
3x = y + 7
What is the solution set?
((-41/2. -9/2))
[(-9/2. -41/2))
ASK FOR HELP​

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Audrey 2 weeks 2021-10-04T17:47:24+00:00 1 Answer 0

Answers ( )

    0
    2021-10-04T17:49:10+00:00

    Answer:

    ( – \frac{9}{2}, – \frac{41}{2} )

    Step-by-step explanation:

    Given the 2 equations

    8x = 2y + 5 → (1)

    3x = y + 7 → (2)

    Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.

    y = 3x – 7 → (3)

    Substitute y = 3x – 7 into (1)

    8x = 2(3x – 7) + 5 ← distribute and simplify right side

    8x = 6x – 14 + 5

    8x = 6x – 9 ( subtract 6x from both sides )

    2x = – 9 ( divide both sides by 2 )

    x = – \frac{9}{2}

    Substitute this value into (3) for corresponding value of y

    y = 3 × – \frac{9}{2} – 7 = – \frac{27}{2}\frac{14}{2} = – \frac{41}{2}

    Solution is (- \frac{9}{2}, – \frac{41}{2} )

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45:7+7-4:2-5:5*4+35:2 =? ( )