Question

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



`2x+y=5`

`x-y=-2`

yes
no

Answer 1

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.