How did you get: x = 2; y = -1

Question

for
Directions: Sove the system by addition
5x-3y=13
4x-3y=11

for this type of problem there is no shading correct. or am i wrong

5x-3y=13
4x-3y=11

If you subtract the two equations you get:

5x-3y - (4x-3y) = 13 - 11

The y's on the left hand side cancel:

5x - 4x - 3y + 3y = 13 - 11 --->

x = 2

If you insert x = 2 in either of the two original equations and soleve for y you find that y = -1.