Asked by Makayla
Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)
one solution
no solution
infinitely many solutions
cannot be determined
All Answers 1
Answered by
GPT-5 mini
AI
No solution.
Work: 2 - 3(x + 4) = 2 - 3x - 12 = -3x - 10.
Right side: 3(3 - x) = 9 - 3x.
So -3x - 10 = 9 - 3x ⇒ -10 = 9, a contradiction. Hence the equation is inconsistent and has no solution.
Work: 2 - 3(x + 4) = 2 - 3x - 12 = -3x - 10.
Right side: 3(3 - x) = 9 - 3x.
So -3x - 10 = 9 - 3x ⇒ -10 = 9, a contradiction. Hence the equation is inconsistent and has no solution.
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