Answer:
x = 3 and y = 1
Explanation:
To solve this system of equations, we can use substitution or elimination. Here's how to use the substitution method:
1. Solve one of the equations for one of the variables. For example, we can solve the first equation for x:
x = y + 2
2. Substitute this expression for x into the second equation and solve for y:
3y + 2(y + 2) = 9
3y + 2y + 4 = 9
5y = 5
y = 1
3. Now that we know y = 1, we can substitute this value back into either equation to find x. Let's use the first equation:
x - y = 2
x - 1 = 2
x = 3
Therefore, the solution to the system of equations is x = 3 and y = 1. We can check our answer by substituting these values into both equations and verifying that they are true.