Question

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

y=−x+5
𝑦
=
−
𝑥
+
5
(1 point)
Responses

infinite
infinite

0
0

1
1

2

Answer 1

1

Solving x + 5 = −x + 5 gives 2x = 0 → x = 0, then y = 5. The two lines have different slopes, so they intersect at exactly one point (0, 5).