Adam solved this equation and identified the number of solutions.
24x – 22 = 4(6x – 1)
24x – 22 = 24x – 4
24x = 24x + 18
0 = 18
The equation has infinitely many solutions.
When Adam verified his answer, it didn’t work. What was his mistake?
He used the distributive property incorrectly in the first step.
He used the addition property of equality incorrectly in the second step.
He should have found that the equation has one solution of x = 18.
He should have found that there are no solutions because the statement is false.
Answers
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Step-by-step explanation:
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Answer:Adam mistake was that she considered 0 = 18 but 0 ≠ 18
Step-by-step explanation:Adam solved this equation and identified the number of solutions.
24x – 22 = 4(6x – 1)
24x – 22 = 24x – 4
24x = 24x + 18
0 = 18
but
0 ≠ 18
Hence there is no solution
Adam mistake was that she considered 0 = 18 but 0 ≠ 18
hence there Does not exist any solution
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