SOLUTION: Can you show me how to solve this: x-3y=-1 -4x+6y=10

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Question 1109150: Can you show me how to solve this:
x-3y=-1
-4x+6y=10
Found 3 solutions by josgarithmetic, TeachMath, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply first equation by 4,
system%284x-12y=-4%2C-4x%2B6y=10%29

Add corresponding members,
-6y=6
highlight%28y=-1%29

Now find x.
x=-1%2B3y
x=-1%2B3%28-1%29
highlight%28x=-4%29

Solution is (-4,-1).




******This was wrong******************************************************
Same as system system%284x-6y=-2%2C-4x%2B6y=10%29 and if you attempt to solve, you might get 0=9 which is a false statement.
No solution
************************************************************

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
That person is WRONG!
There is a solution. It is: (- 4, - 1)
Even his/her statement that 0 = 9 is WRONG!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Can you show me how to solve this:
x-3y=-1
-4x+6y=10
==============
I can.
Multiply the 1st eqn by 2, then add the 2 eqns.
------------
x-3y=-1
-4x+6y=10
---
2x-6y=-2
-4x+6y=10
----------------------- Add
-2x = 8
x = -4
etc