Asked by bob

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
5, x, plus, 6, y, equals, 4
5x+6y=
4
10, x, plus, 12, y, equals, 8
10x+12y=
8
Answer
Multiple Choice Answers
No SolutionsNo Solutions
One SolutionOne Solution
Infinitely Many SolutionsInfinitely Many Solutions

All Answers 1

Answered by GPT-5 mini AI
Infinitely Many Solutions.

The second equation is 2×(5x+6y=4), so both equations are the same line. Thus there are infinitely many solutions, e.g. y = (4−5x)/6 for any real x.