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6 February, 02:06

5 (2y - 1) = 3 (y - 4)

How would I do this question/what is the answer?

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Answers (2)
  1. 6 February, 02:07
    0
    Step-by-step explanation:

    =10y - 5 = 3y - 12

    =7y - 5 = - 12

    =7y = - 7

    y = 1
  2. 6 February, 02:35
    0
    y = - 1

    Step-by-step explanation:

    to solve this equation, you would solve for y by isolating y on one side of the equation

    5 (2y - 1) = 3 (y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

    5 (2y - 1)

    5 x 2y = 10y

    5 x - 1 = - 5

    = 10y - 5

    3 (y - 4)

    3 x y = 3y

    3 x - 4 = - 12

    = 3y - 12

    we get the new equation:

    10y - 5 = 3y - 12 < add 12 to both sides to eliminate - 12 from the right side

    + 12 + 12

    10y + 7 = 3y < subtract 10y from both sides

    -10y - 10y

    7 = - 7y < divide both sides by - 7 to isolate y

    7/-7 = - 1

    -7y/-7 = y

    -1 = y

    our solution to the equation is y = - 1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

    CHECK

    5 (2y - 1) = 3 (y - 4) when y = - 1

    5 (2 (-1) - 1) = 3 ((-1) - 4)

    5 (-2 - 1) = 3 (-1 - 4)

    5 (-3) = 3 (-5)

    -15 = - 15

    both sides check out so y = - 1 is a solution to the equation
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