Question

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

include a graph with the answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 each equation and see if both equations hold true.

First, substitute x = -1 and y = 1 into the equation x + 2y = 5:

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

Since 1 does not equal 5, the point (-1, 1) is not a solution to the equation x + 2y = 5.

Next, substitute x = -1 and y = 1 into the equation x - y = -2:

(-1) - (1) = -2
-1 - 1 = -2
-2 = -2

Since -2 equals -2, the point (-1, 1) is a solution to the equation x - y = -2.

Therefore, the point (-1, 1) is only a solution to one equation in the system.

I'm sorry, but as a text-based AI, I am unable to provide a graph. However, you can easily graph these equations on your own by plotting the points and drawing the lines on a coordinate plane.