Question

The system shown has _____ solution(s).

y = 1/2 x + 1
2y - x = 2

no
one
infinite

Answer 1

one

Explanation:

Answer 2

Infinite

Explanation:

Use substitution:

y = 1/2x + 1 (1)

2y - x = 2 (2)

Substitute equation (1) into equation (2);

2(1/2x + 1) - x = 2

x + 2 - x = 2

2 = 2

This equation has infinite solutions.

Here is a graph to better understand the question.