Answer: The solution of the system of equations is (x, y) = (-1, -2).
Step-by-step explanation:
We can solve this system of equations by using either elimination or substitution method. Here, we'll use elimination:
Adding the two equations, we get:
(3x + 7y) + (-3x + 9y) = -17 - 15
Simplifying the left side and right side:
16y = -32
Dividing both sides by 16:
y = -2
Now we can substitute y = -2 into either of the original equations and solve for x. Let's use the first equation:
3x + 7(-2) = -17
Simplifying:
3x - 14 = -17
Adding 14 to both sides:
3x = -3
Dividing both sides by 3:
x = -1