Question

4x − 6y = −2
−2x + 12y = 28
A) (4, −3) B) (4, 3)
C) (−4, −3) D) (−4, 3)

Answer 1

x = 4, y =3

Explanation:

4x − 6y = −2

−2x + 12y = 28

Multiply the first equation by 2

8x -12y = -4

Add the second equation to this

8x -12y = -4

−2x + 12y = 28

------------------------

6x + 0y = 24

Divide each side by 6

6x/6 = 24/6

x = 4

Now we find y

4x- 6y = -2

4(4) - 6y = -2

16 -6y = -2

subtract 16 from each side

16-16 -6y = -2-16

-6y = -18

Divide by -6

-6y/-6 = -18/-6

y = 3