Answer: (-4,2)
Explanation:
To solve the system using the elimination method, you first need to adjust the equations a bit so that you can add or subtract to eliminate either x or y.
Eliminating x seems more convenient in this situation, so let's try.
We can multiply 3 to the second equation so that we end up with this:
3x+5y=-2
-3x+6y=24
Now, all we need to do is add up the two equations to get:
11y=22
y=2
Since we now know the value of y, let's plug it in to get x.
3x+10=-2
3x=-12
x=-4
Therefore, the answer is x=-4, y=2 or(-4,2)