The solution to the system of equations is x = -2 and y = -4.
To find the values of x and y, we can solve the system of equations:
1. x = 3y + 10
2. x - y = 2
Let's substitute the expression for x from the first equation into the second equation:
(3y + 10) - y = 2
Combine like terms:
2y + 10 = 2
Subtract 10 from both sides:
2y = -8
Divide both sides by 2:
y = -4
Now that we have the value for y, we can substitute it back into the first equation to find x:
x = 3(-4) + 10
x = -12 + 10
x = -2
So, the solution to the system of equations is x = -2 and y = -4.