Question

Determine the number of solutions to this system of linear equations:
y=x+5

y=−x+5
(1 point)
Responses

2
2

1
1

infinite
infinite

0

Answer 1

Set x+5 = −x+5 ⇒ 2x = 0 ⇒ x = 0. Then y = 0+5 = 5.

So there is exactly 1 solution: (0, 5).