Answer
no solution; empty set
Work Step by Step
y=2x+3
Plug this value for y into the other equation.
2(x-1)-y=-3
2(x-1)-(2x+3)=-3
2x-2-2x-3=-3
2x-2x-2-3=-3
0-5=-3
-5$\ne$-3
Since this statement is false, there are no solutions to this system. Therefore the answer is an empty set.