Question

A system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.

Answer 1

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 +ve
• Quadrant 2: x -ve, y +ve
• Quadrant 3: x -ve, y -ve
• Quadrant 4: x +ve, y -ve

The 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.