7x + y = -8 (1st)
3x + y = -6 (2nd)
Subtract (2nd) equation 3x + y = -6 from (1st) equation 7x + y = -8
7x + y = -8 (1st)
3x + y = -6 (2nd)
-----------------------------subtract
4x = -2
x = -1/2
Substitute x = -1/2 into 3x + y = -6
3(-1/2) + y = -6
-3/2 + y = -6
y = -12/2 + 3/2
y = -9/2
Solution: (-1/2, -9/2)
Answer
This system of equations have only one solution
Solution: (-1/2, -9/2)