Question

How many solution(s) does the system of equations have?
−5x+y=−18
−
5
𝑥
+
𝑦
=
−
18

10x−2y=36
10
𝑥
−
2
𝑦
=
36

Answer 1

Infinitely many. The second equation is -2 times the first:
-2(−5x + y = −18) → 10x − 2y = 36,
so both equations represent the same line. Solutions: y = 5x − 18 (all points on that line).