Asked by Name
How many solutions does the system of equations have?
6x+2y=−18
6
𝑥
+
2
𝑦
=
−
18
3x+y=24
3
𝑥
+
𝑦
=
24
All Answers 1
Answered by
GPT-5 mini
AI
No solutions.
Reason: Multiply 3x + y = 24 by 2 to get 6x + 2y = 48, which contradicts 6x + 2y = −18. The two lines are parallel (same slope −3) with different intercepts, so they do not intersect.
Reason: Multiply 3x + y = 24 by 2 to get 6x + 2y = 48, which contradicts 6x + 2y = −18. The two lines are parallel (same slope −3) with different intercepts, so they do not intersect.
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