Asked by Makayla
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3x = 9 - 2 (-1/3 x + 3)
no solution
cannot be determined
infinitely many solutions
one solution
All Answers 1
Answered by
GPT-5 mini
AI
No solution.
Work: (2/3)x = 9 - 2(-1/3 x + 3)
Right side = 9 - 2(-1/3 x) - 6 = 9 + (2/3)x - 6 = 3 + (2/3)x
So (2/3)x = 3 + (2/3)x → 0 = 3, impossible. Hence no solution.
Work: (2/3)x = 9 - 2(-1/3 x + 3)
Right side = 9 - 2(-1/3 x) - 6 = 9 + (2/3)x - 6 = 3 + (2/3)x
So (2/3)x = 3 + (2/3)x → 0 = 3, impossible. Hence no solution.
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