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

1 Answer

5 votes

Answer:

Ans: x=0

y= -2

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 ✔

User Seth Hoenig
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