Solve by elimination
-6x+y= -2
-3x-6y= 12

Ans: x=0

       y= -2

Step-by-step explanation:

-6x+y= -2 (1) × 6

-3x-6y= 12(2) × 1

-36x+6y= -12(3)

-3x-6y= 12(2)

(3)+(2)

-36x+6y+(-3x-6y) = -12+12

⇒ -36x+6y-3x-6y = 0

⇒ -36x-3x = 0

⇒ -39x=0

⇒ x= 0/-39

∴ x = 0

Substitute x = 0 into (1)

-6x+y= -2

⇒-6(0)+y= -2

⇒0+y= -2

∴y = -2

Ans: x = 0

       y = -2

Check:

-6x+y= -2 (1)

= -6(0)+(-2)

= 0 - 2

= -2 ✔

-3x-6y= 12(2)

= -3(0)-6(-2)

= 0+12

= 12 ✔