Question

The graph below represents the system of equations 3x+4y=12 and 2x-y=8. A coordinate grid with 2 lines. One line passes through (0, 3) and (4, 0). The other line passes through (2, negative 4) and (4, 0). Which ordered pair is a solution to the system of equations? (0, 3) (3, 0) (4, 0) (0, 4)

Answer 1

C. (4,0)

Explanation:

Given a graph of the system of equations

3x+4y=12; and

2x-y=8.

• Line 1 passes through (0, 3) and (4, 0).
• Line 2 passes through (2, -4) and (4, 0).

We can see that both lines pass through (4,0). Therefore, (4,0) is a point of intersection of the two lines.

It is therefore a solution to the system of equations.