Answer:
A. Exactly one solution
Step-by-step explanation:
Solve the system of equations.
y = x + 1
y = 2x - 5
Substitute one equation into the other.
y = 2x - 5
x + 1 = 2x - 5
Subtract 2x from both sides.
-x + 1 = -5
Subtract 1 from both sides.
-x = -6
Multiply both sides by -1.
x = 6
Put it back into the other equation.
y = x + 1
y = 6 + 1
Add.
y = 7
The solution is (6, 7). Since the equations aren't equal, there are not infinitely many solutions, but since there is a solution found, we can determine that there is exactly one solution.
