Q:

a system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations. (1,1)(-2,1)(1,-1)

Accepted Solution

A:
Answer:(1,-1)Step-by-step explanation:The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.That is also known as the intersecting points.The top-right part is known as the 1st Quadrant in a coordinate system.Top-left is 2nd Quadrant.Bottom left is 3rd Quadrant.Bottom right is 4th Quadrant.The values of x and y (positive or negative) of each quadrant is shown below:Quadrant 1: x +ve, y +veQuadrant 2: x -ve, y +veQuadrant 3: x -ve, y -veQuadrant 4: x +ve, y -veThe intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.