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23 May, 07:59

Which of the following is a solution to the system of linear equations below 3x+y=15 and 2x+2y=6

A) (-3,6)

B) (6,-3)

C) (-6,33)

D) (6,33)

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Answers (1)
  1. 23 May, 08:01
    0
    To find the solution to a set of linear equations, set them both to y=kx form

    In this case,

    1) 3x+y=15 would be y = - 3x+15

    2) 2x+2y=6 would be y = - x+3

    3) Set them equal to each other

    4) - 3x+15 = - x+3

    5) x=6

    So now we know the x coordinate as 6

    Plug in this x value in one of the y = equations

    6) (-3*6) + y=15

    (solve for y)

    y = 33

    Therefore, the solution is (6,33)
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