Answer:
A. The system has a single solution. The solution set is (x, y) = (-3, 2).
Explanation:
You want the solution to the system of equations ...
Number of solutions
These standard form equations are different, so they will have one solution.
Solution
That solution can be found by adding the equations, eliminating the y-variable.
(x +y) +(x -y) = (-1) +(-5)
2x = -6
x = -3
y = x +5 = -3 +5 = 2 . . . . . . from the second equation
The solution is (x, y) = (-3, 2).