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11 March, 17:31

What is the solution of the system?

Use the substitution method.

{y+7=3x

{6x-2y=12

A) (14, 12)

B) (12, 14)

C) There is no solution.

D) There are an infinite number of solutions.

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Answers (1)
  1. 11 March, 17:33
    0
    Y + 7 = 3x ... y = 3x - 7

    so we sub in 3x - 7 for y in the other equation

    6x - 2y = 12

    6x - 2 (3x - 7) = 12

    6x - 6x + 14 = 12

    6x - 6x = 12 - 14

    0 = - 2 (incorrect) ... no solution

    Little tip:

    if ur answer comes out with unequal amounts such as : 1 = 4, or 2 = 3, or 0 = - 2 ... then there will be no solutions.

    if ur answer comes out with equal amounts such as : 2 = 2, 3 = 3,0 = 0 ... then there will be infinite solutions.

    if ur answer comes out with a variable equaling something ... y = 4, x = 2, then there is 1 solution
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