Determine if the point −1,1 is a solution to the system of equations.%0D%0A%0D%0A%0D%0A%0D%0Ax+2y=5%0D%0A%0D%0Ax−y=−2

Answer 1

To determine if the point (-1, 1) is a solution to the system of equations, we substitute the given values into each equation and check if the equations hold true.

For the first equation:

x + 2y = 5

Substituting x = -1 and y = 1:

-1 + 2(1) = 5

-1 + 2 = 5

1 = 5

Since the equation is not true, (-1, 1) is not a solution to the first equation.

Now, let's check the second equation:

x - y = -2

Substituting x = -1 and y = 1:

-1 - (1) = -2

-1 - 1 = -2

-2 = -2

The equation holds true, so (-1, 1) is a solution to the second equation.

Since (-1, 1) is only a solution to one of the equations, it is not a solution to the system of equations.