SOLUTION: can you please help me with this problem: -12x-10y=90 -6x-y=9 what is the x and y values? can you show all the steps please? :)

Question 707913: can you please help me with this problem:
-12x-10y=90
-6x-y=9
what is the x and y values?

can you show all the steps please? :)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Multiply both sides in equation 2 by the number -2 to get

-6x-y=9

-2(-6x-y)= -2*9

12x + 2y = -18

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

So the system

-12x-10y=90
-6x-y=9

turns into

-12x-10y=90
12x+2y=-18

Add the equations

-12x-10y=90
12x+2y=-18
-----------
0x-8y=72

So -8y = 72. Solve for y

-8y = 72

y = 72/(-8)

y = -9

Now use this to find x.

-12x-10y=90

-12x-10(-9)=90

-12x+90=90

-12x=90-90

-12x=0

x = 0/(-12)

x = 0

So x = 0 and y = -9

Therefore, the solution as an ordered pair is (0, -9)

If you graphed both equations, you'll see that they intersect at (0, -9) which would give you visual confirmation of the answer.
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