Solve the system of equations

10x-9y=24
Y=x-2
X=
Y=

To solve the system of equations, we'll substitute equation 2 into equation 1.

Substituting equation 2 into equation 1:
10x - 9(x - 2) = 24
10x - 9x + 18 = 24
x + 18 = 24
x = 24 - 18
x = 6

Now, substitute the value of x into equation 2 to find y:
y = 6 - 2
y = 4

Therefore, the solution to the system of equations is:
x = 6
y = 4