Question

what is the solution to the system of equations graphed below?

(-2, 5)
infinitely many solutions
no solution
(5, -2)

Explanation:

Identify the system of equations on the graph

Using the Linear Graphs knowledge point

$$ \text{Two lines are plotted on the coordinate plane.} $$

Find the intersection point of the two lines

Using the Linear Equations knowledge point

$$ \text{The lines intersect at the point } (x, y) = (5, -2). $$

Verify the solution coordinates

Using the Linear Equations knowledge point

$$ x = 5,\quad y = -2 $$

Match with the multiple-choice options

Using the Linear Equations knowledge point

$$ \text{The correct option is } (5, -2). $$

Answer:

• (-2, 5)
• infinitely many solutions
• no solution
• (5, -2) (Correct answer)