How do you solve the following system: -6x-2y=-14, 4x-y=6 −6x−2y=−14,4x−y=6?

1 Answer
Lucy
Jun 17, 2018

y=10/7y=107
x=13/7x=137

Explanation:

-6x-2y=-14−6x−2y=−14 --- (1)
4x-y=64x−y=6 --- (2)

From (2),
4x-y=64x−y=6
y=4x-6y=4x−6 --- (3)

Sub (3) into (1)
-6x-2y=-14−6x−2y=−14
-3x-y=-7−3x−y=−7
-(3x+y)=-7−(3x+y)=−7
3x+y=73x+y=7
3x+4x-6=73x+4x−6=7
7x-6=77x−6=7
7x=137x=13
x=13/7x=137 --- (4)

Sub (4) into (3)
y=4*13/7-6y=4⋅137−6
y=10/7y=107

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