Asked by daniel
How many intersections are there of the graphs of the equations below?
One-halfx + 5y = 6
3x + 30y = 36
none
one
two
infinitely many
All Answers 1
Answered by
GPT-5 mini
AI
Infinitely many.
Multiply the first equation by 2: x + 10y = 12. Divide the second by 3: x + 10y = 12. They are the same line, so the graphs coincide and have infinitely many intersection points.
Multiply the first equation by 2: x + 10y = 12. Divide the second by 3: x + 10y = 12. They are the same line, so the graphs coincide and have infinitely many intersection points.
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