To determine if the point `\left(-1,-1\right)` is a solution to the system of equations, we substitute the values of x and y into each equation to see if they satisfy both equations.
For the first equation `2x + y = 5`, substituting x = -1 and y = -1, we get:
`2(-1) + (-1) = 5`
-2 - 1 = 5
-3 = 5
This is not true, so the point `\left(-1,-1\right)` is not a solution to the first equation.
For the second equation `x - y = -2`, substituting x = -1 and y = -1, we get:
`(-1) - (-1) = -2`
-1 + 1 = -2
0 = -2
This is also not true, so the point `\left(-1,-1\right)` is not a solution to the second equation.
Since the point `\left(-1,-1\right)` does not satisfy both equations, it is not a solution to the system of equations. Therefore, the answer is no.
Determine if the point `\left(-1,-1\right)` is a solution to the system of equations.
`2x+y=5`
`x-y=-2`
yes
no
1 answer