A is a constant. Find A such that the equation 2x + 1 = 2A + 3 (x + A) has a solution at x = 2.

Question

Mathematics

Ariel Chapman

12 January, 03:29

A is a constant. Find A such that the equation 2x + 1 = 2A + 3 (x + A) has a solution at x = 2.

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Answers (1)

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Makenzie · Answer 1

2x + 1 = 2A + 3 (x + A)

You want x=2 to be a solution.

So the equation will be a true statement when

2 (2) + 1 = 2A + 3 (2 + A)

4 + 1 = 2A + 6 + 3A

Combine like terms: 5 = 5A + 6

Subtract 6 from each side: - 1 = 5A

Divide each side by 5: - 0.2 = A