Answer:
x= 2
y= -3
Explanation:
The first thing you can do is turn either equation into slope-intercept form that way you have a clear equation for ONE variable. This looks like:
6x+6y=-6
6y= -6x -6 (move the 6x to the other side by subtracting)
y= -x-1 (divide everything by 6 to isolate "y")
so now you have an equation for y, y= -x-1
plug this in for the y variable in the second equation to get your final answer.
5x - 6(-x-1) = 28
5x + 6x +6 = 28 ( all i did was distribute)
11x + 6 = 28 (add like terms)
11x = 22 (subtract 6)
x= 2
now that you know that x = 2, plug that in to either equation to solve for y.
6(2) + 6y = -6
12 + 6y = -6
6y = -18 (i subtracted 12 from both sides)
y = -3
okay, so your final answer is (2, -3) or x= 2 and y= -3
I really hope this was easy to follow.