SOLUTION: How do I solve this system? -x-12=-4y 2x-3y= 6

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Question 449374: How do I solve this system?
-x-12=-4y
2x-3y= 6

Found 2 solutions by stanbon, rfer:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve this system?
-x-12=-4y
2x-3y= 6
----
Rearrange:
-x + 4y = 12
2x - 3y = 6
----
Multiply thru the top equation by 2:
-2x + 8y = 24
2x - 3y = 6
-------------------
Add and solve for "y":
5y = 30
y = 6
---
Solve for "x":
-x+4y = 12
-x + 4*6 = 12
-x = -12
x = 12
=======
Cheers,
Stan H.
==============

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x=4y-12
2x-3y=6
----------------
2(4y-12)-3y=6
8y-24-3y=6
5y=30
y=6
--------------
2x-3*6=6
2x-18=6
2x=24
x=12
----------
-12-12=-4*6