Question

Which ordered pair is the solution to the system of equations?

у = 3х – 12
4х + 6у = -6

(3, -3)
(6, -5)
(0, -12)
(4, -7)

Answer 1

`(3, -3)`

Step-by-step Step-by-step explanation:

{у = 3х - 12

{4х + 6у = −6

4x + 6[3x - 12] = −6

4x + 18x - 72 = −6

−6 = −72 + 22x

+72 + 72

___________

66 = 22x

__ ___

22 22

`3 = x` [Plug this back into both equations above to get the y-coordinate of −3];
`-3 = y`

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