Determine if the point (-1,-1) is a solution to the system of equations.
2x+y=5
X-y=-2
Yes, it is a solution. No, it is not a solution.
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.