Question

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

y=−x+5
(1 point)
Responses

0
0

1
1

2
2

infinite

Answer 1

1

Set the right-hand sides equal: x + 5 = −x + 5 ⇒ 2x = 0 ⇒ x = 0, then y = 5. So there is exactly one solution: (0, 5).