Answer: (x, y) = (-19, 55)
Explanation:
To solve the system of equations, we can use the substitution method. We can solve for y in the first equation and substitute that expression into the second equation.
y = -3x - 2
5x + 2(-3x - 2) = 15
Simplifying the equation, we get:
5x - 6x - 4 = 15
-x - 4 = 15
-x = 19
x = -19
Now that we know x, we can substitute it back into the first equation to find y.
y = -3(-19) - 2
y = 57 - 2
y = 55
Therefore, the solution to the system of equations is (x, y) = (-19, 55).