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

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

1 answer

To determine if the point (-1,-1) is a solution to the system of equations, we need to substitute the values of x and y into both equations and check if they are satisfied.

For the first equation:

2x + y = 5

Substituting x = -1 and y = -1:

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

Since -3 is not equal to 5, the point (-1,-1) is not a solution to the first equation.

For the second equation:

x - y = -2

Substituting x = -1 and y = -1:

(-1) - (-1) = -2
-1 + 1 = -2
0 = -2

Since 0 is not equal to -2, the point (-1,-1) is also not a solution to the second equation.

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