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10 January, 05:17

A system of equations is shown below.

5 + 2y = - 15

2x-2y=-6

What is the solution to the system of equations?

A

B

C

D

(-3,0)

(0,-3)

(-3,6)

(6,-3)

+2
Answers (1)
  1. 10 January, 07:36
    0
    You can use the process elimination to solve. In other words, subtract or add the equations like normal.

    5x + 2y = - 15

    + 2x - 2y = - 6

    Because there is a 2y and - 2y, we can add both equations to eliminate the y so that we can figure out what x is:

    5x + 2x = 7x

    2y + (-2y) = 0

    -15 + (-6) = - 21

    We now have 7x = - 21

    Divide all by 7 to get x = - 3

    Plug in - 3 to any of the two equations. I will use the second equation:

    2 (-3) - 2y = - 6

    -6 - 2y = - 6

    -2y = 0

    y = 0

    This means that the solution to the system of equations is (-3, 0) in the form of (x, y).
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