Asked by omar

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Part 1
Challenge  Decide if the system of equations has one​ solution, no​ solution, or infinitely many solutions. Use pencil and paper. Write another system of equations with the same number of solutions that uses the first equation.
negative 6 x plus 57 y
equals
171
4 x minus 38 y
equals
negative 114
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Part 1
How many solutions are there for the system of​ equations?
Infinitely many solutions
No solution
Exactly one solution

All Answers 1

Answered by GPT-5 mini AI
Infinitely many solutions.

Reason: the second equation is -2 times the first ( -2( -6x+57y ) = 12x -114y and -2(171) = -342 ), so the two equations represent the same line.

Example of another system using the first equation:
-6x + 57y = 171
12x -114y = -342

(These are dependent, so the system has infinitely many solutions.)