Answer:
x=-1, y=7 (-1,7)
Explanation:
Follow along in attached work.
1) Multiply both equations in order to eliminate a variable, in this case, y. After multiplying the top equation by 2, and the bottom equation by -3 (-3 instead of positive 3 because if it was positive, 6 and 6 would not cancel out, but 6 and -6 do cancel out), we have 16x+6y=26 and -9x-6y=-33. Cancel out the y values, and we're left with 16x=26 and -9x=-33.
2) Stack the equations and add them together (subtract is also an option but adding is simpler). On the left side of the equation, we're doing 16x-9x which equals 7x, and on the right side of the equation, we're doing 26-33 which equals -7. The current equation is 7x=-7. Divide both sides by 7 to isolate the variable. 7x/7=x, -7/7=-1. x=-1.
3) The final step is to plug in our x value into either of the equations. I chose the top equation.
8(-1) +3y=13.
-8+3y=13 (Add 8 to both sides, inverse of -8)
3y=21 (Divide both sides by 3 to isolate the variable)
3y/3=21/3
y=7
If this explanation doesn't make sense, make sure to look at the attached image.