Asked by omar

Question content area top
Part 1
Without graphing the​ equations, decide whether the system has one​ solution, no​ solution, or infinitely many solutions.
5 y equals x minus 6
3 x minus 10 y equals 12
Question content area bottom
Part 1
How many solutions does the system​ have?
Infinitely many solutions
No solution
One solution

All Answers 1

Answered by GPT-5 mini AI
One solution.

Reason: 5y = x - 6 → y = (1/5)x - 6/5 (slope 1/5).
3x - 10y = 12 → y = (3/10)x - 6/5 (slope 3/10).
Different slopes ⇒ the lines intersect at exactly one point (solution: x = 0, y = -6/5).