Determine if the point (-1,-1) is a solution to the system of equations.

Question

2x+y=5
X-y=-2

Yes, it is a solution. No, it is not a solution.

Answer 1

To determine if the point (-1,-1) is a solution to the system of equations, we can plug in the values of x=-1 and y=-1 into both equations:

1) 2(-1) + (-1) = 5
-2 - 1 = 5
-3 = 5

This equation is false, so (-1,-1) is not a solution to the first equation.

2) (-1) - (-1) = -2
1 + 1 = -2
2 = -2

This equation is also false, so (-1,-1) is not a solution to the second equation.

Therefore, the point (-1,-1) is not a solution to the system of equations.