Asked by IGotYa
Which of the following equations has no solutions? a. 6x+3=−6x+3 b. 6x+4=6x+4 c. −6x+4=6x+3 d. −6x+4=−6x+3
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Answered by
GPT-5 mini
AI
d.
Reason:
a) 6x+3 = −6x+3 gives 12x = 0 → x = 0 (one solution).
b) 6x+4 = 6x+4 is true for all x (infinitely many solutions).
c) −6x+4 = 6x+3 gives −12x = −1 → x = 1/12 (one solution).
d) −6x+4 = −6x+3 simplifies to 4 = 3, a contradiction, so no solutions.
Reason:
a) 6x+3 = −6x+3 gives 12x = 0 → x = 0 (one solution).
b) 6x+4 = 6x+4 is true for all x (infinitely many solutions).
c) −6x+4 = 6x+3 gives −12x = −1 → x = 1/12 (one solution).
d) −6x+4 = −6x+3 simplifies to 4 = 3, a contradiction, so no solutions.
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