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

Solve 2x + y = 3 for y: y = 3 − 2x. Substitute into 2x − 5y = 15:

2x − 5(3 − 2x) = 15
2x − 15 + 10x = 15
12x = 30 → x = 2.5

Then y = 3 − 2(2.5) = −2.

Solution: (2.5, −2).