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

Question

include a graph

Answer 1

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

For the equation x + 2y = 5:
Substituting x = -1 and y = 1, we get:
-1 + 2(1) = 1
-1 + 2 = 1
1 = 1

The equation is satisfied.

For the equation x - y = -2:
Substituting x = -1 and y = 1, we get:
-1 - 1 = -2
-2 = -2

The equation is satisfied.

Since the point (-1, 1) satisfies both equations, it is a solution to the system of equations.

Here is a graph of the system of equations:
https://www.desmos.com/calculator/6yn2d9hnlu