what’s the solution to 3y=x – 4 and 6x – 6y = 8

Question

what’s the solution to 3y=x – 4 and 6x – 6y = 8

in progress 0
Quinn 1 week 2021-09-15T05:20:59+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T05:22:19+00:00

    Answer:

    Y= x/3 – 4/3

    X= 4/3 + y

    Step-by-step explanation:

    0
    2021-09-15T05:22:40+00:00

    Answer:

    (0, – \frac{4}{3} )

    Step-by-step explanation:

    Given the 2 equations

    3y = x – 4 → (1)

    6x – 6y = 8 → (2)

    Rearrange (1) expressing x in terms of y by adding 4 to both sides

    x = 3y + 4 → (3)

    Substitute x = 3y + 4 into (2)

    6(3y + 4) – 6y = 8 ← distribute and simplify left side

    18y + 24 – 6y = 8

    12y + 24 = 8 ( subtract 24 from both sides )

    12y = – 16 ( divide both sides by 12 )

    y = \frac{-16}{12} = – \frac{4}{3}

    Substitute y = – \frac{4}{3} into (3) and solve for x

    x = 3(- \frac{4}{3} ) + 4 = – 4 + 4 = 0

    Solution is (0, – \frac{4}{3} )

Leave an answer

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