Question

The graph represents this system of equations: A system of equations. 2 x plus y equals 3. 2 x minus 5 y equals 15.

A coordinate grid with 2 lines. One line passes through (0, 3) and (1.5, 0). The other line passes through (0, negative 3) and (2.5, negative 2).

What is the solution to the system of equations represented by the graph?

(0, –3)
(1, 1)
(1.5, 0 )
(2.5, –2)

Answer 1

(2.5, -2)

Explanation:

The solution to a graphed system of equations is the point of intersection.

From inspection of the given graph, the two lines intersect at the point (2.5, -2). Therefore, the solution to the system of equations represented by the graph is (2.5, -2).

Further information

• If the lines are parallel (they have the same slope) there will be no solution, as the lines will never intersect.
• If the lines are the same (one line on top of the other line), there will be infinitely many solutions.