Answer:
The solution is


Explanation:
We have the system:
-4x+6y=6
-7x+5y=2
I would like to solve this by elimination because I don't feel like rearranging both equations and they both have the same form which is crucial in elimination. The only thing is I will need opposites in a column (where the variable are).
So I'm going to focus on the x's. I want the x part to be opposites.
I know if I multiply the first equation by 7 I will get -28x plus... and if I multiply the last equation by -4 I will get 28x plus... .
28x and -28 are opposites and we all know what happens to opposites when you add them. They zero out; cancel out. That is -28x+28x=0.
So let's multiply first equation by 7 and
multiply bottom equation by -4:
-28x+42y=42
28x-20y=-8
----------------------We are ready to add the equations:
0+22y=34
22y=34
Divide both sides by 22:
y=34/22
Reduce the fraction:
y=17/11 (I divided top and bottom by 2.)
Now if y=17/11 and -4x+6y=6, we can find x by inserting 17/11 for y in the second equation I wrote in this sentence.

Perform the simplification/multiplication of 6 and 17/11:

Subtact 102/11 on both sides:

Find a common denominator:



Divide both sides by -4:

Reduce 36/4 to 9:


The solution is

