Answer
x = 3
y = 1
Work Step by Step
1. Solve the equation x - y = 2 for variable x
2. Solving for variable x gives the equation x = y + 2
3. Now plug in y + 2 into x for the second equation 2x + 3y = 9
4. Plugging y + 2 for x gives the equation 2(y + 2) + 3y = 9
5. Simplifying 2(y + 2) + 3y = 9 gives 5y = 5
6. Solving for y gives you y = 1
7. To find X, plug in y as 1 into either equation
8. If plugging into first equation, you get x - 1 = 2
9. Solving for x gives you 3
