SOLUTION: Can you please help me with this problem- 2x-6y= 12 -3x+9y=12 I know you need to get one variable alone and then plug it into the other

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Question 70200This question is from textbook Intro to Algebra
: Can you please help me with this problem- 2x-6y= 12
-3x+9y=12
I know you need to get one variable alone and then plug it into the other equation but I cannot figure it out.
This question is from textbook Intro to Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1st: -2x - 6y= 12
2nd: -3x + 9y= 12
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Multiply 1st by -3 and 2nd by -2 to get:
3rd: 6x + 18y = -36
4th: 6x - 18y = -24
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Add 3rd and 4th to get:
12x=-60
x=-5
Substitute into 1st to solve for y:
10-6y=12
-6y=2
y=-1/3
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check in 2nd:
-3(-5) +9(-1/3) = 12
15-3= 12
12=12
Cheers,
stan H.