Final answer:
The solution to the system of equations is (2, -3).
Step-by-step explanation:
The solution to the given system of equations can be found by solving them simultaneously. The equations are:
y = 2x - 7
y = -x - 1
We can solve the system by setting the two equations equal to each other:
2x - 7 = -x - 1
Adding x to both sides gives us:
3x - 7 = -1
Adding 7 to both sides gives us:
3x = 6
Dividing both sides by 3 gives us:
x = 2
Substituting the value of x into either of the original equations gives us:
y = -x - 1
y = -2 - 1
y = -3
Therefore, the solution to the system of equations is (2, -3), which corresponds to option A.