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1 July, 03:51

What is the x-coordinate of the solution of the following system of equations?

3x + y = 6

x - y = 6

-3

0

3

+3
Answers (1)
  1. 1 July, 04:14
    0
    The easiest way to solve this is by elimination.

    3x - y = 6

    6x + y = 21

    Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

    9x = 27

    Then solving for x leaves you with x = 3

    Then you take the x value of three and plug it into to either of the equations, so

    3 (3) - y = 6

    9 - y = 6

    subtracting 9

    -y = - 3

    then dividing by - 1

    y = 3

    so the solution is x = 3 y = 3 or (3,3)
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