SOLUTION: Solve using elimination method please. -6x+y=0 9x-12y=2 please solve ending with ordered pair please. thank you!!

Question 176207: Solve using elimination method please.

-6x+y=0
9x-12y=2

please solve ending with ordered pair please. thank you!!
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
-6x+y=0
9x-12y=2
-----------
Multiply 1st by 12 to get:
-72x + 12y = 0
9x - 12y = 2
-----------------
Add to solve for "x":
-63x = 2
x = -(-/63)
--------------
Substitute into y = 6x to solve for "y":
y = 6(-2/63) = -12/63
-------------------------
Ordered Pair: (-2/63,-12/63)
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Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Multiply the both sides of the first equation by 12.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Multiply both sides by the LCD to clear any fractions.

Distribute and multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

==================================
Answer:

So the solutions are and

which form the ordered pair
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