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24 October, 20:17

What is the y-value of the solution to the system of equations?

3x + 5y = 1

7x + 4y = - 13

+3
Answers (1)
  1. 24 October, 21:47
    0
    Let's solve for x first,

    3x + 5y - 5y = 1 - 5y

    3x/3 = 1/3 - 5y/3

    x = 1/3 - 5/3y

    Let's now plug that into the other equation,

    7 (1/3 - 5/3y) + 4y = - 13

    7/3 - 35/3y + 4y = - 13

    7/3 - 7 2/3y - 7/3 = - 13 - 7/3

    - 7 2/3y (-3/23) = - 15 1/3 (-3/23)

    y = 2

    The answer is 2
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