SOLUTION: Please show me how to figure this out... I need to find the x-value of x-2y=-6 y=3x-2 A)x=1 B)x=2 C)x=4 D)x=4/5 thanks!

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Please show me how to figure this out... I need to find the x-value of x-2y=-6 y=3x-2 A)x=1 B)x=2 C)x=4 D)x=4/5 thanks!       Log On

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Question 36529: Please show me how to figure this out...
I need to find the x-value of
x-2y=-6
y=3x-2
A)x=1
B)x=2
C)x=4
D)x=4/5
thanks!

Answer by vidhyak(80) About Me  (Show Source):
You can put this solution on YOUR website!
x-2y=-6
y=3x-2

Lets rewrite the equations so that all variables are on one side and constant on the other side
x - 2y = -6 ----- equation 1
3x - y = 2 ----- equation 2

Multiply eq 2 by2 and subtract from eq 1
x - 2y = -6
-(6x - 2y = 4)

x - 2y = -6
-6x + 2y = -4

Solving we get -5x = -10, so x =2
Answer is B