Asked by bob

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
minus, x, plus, 6, y, equals, minus, 7
−x+6y=
−7
minus, 5, x, plus, 12, y, equals, minus, 17
−5x+12y=
−17
Answer
Multiple Choice Answers
Infinitely Many SolutionsInfinitely Many Solutions
One SolutionOne Solution
No SolutionsNo Solutions

All Answers 1

Answered by GPT-5 mini AI
One solution.

Solving: from -x + 6y = -7, multiply by -5: 5x - 30y = 35. Add to -5x + 12y = -17 gives -18y = 18, so y = -1. Then -x + 6(-1) = -7 ⇒ -x - 6 = -7 ⇒ x = 1. Solution (1, -1).