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Question
Solve the following equations for the unknown: `(7)/(x - 2) - (5)/(3)` = 3, x ≠ 2
Solution
`(7)/(x - 2) - (5)/(3)` = 3, x ≠ 2
⇒ `(7)/(x - 2) = (5)/(3) + 3`
⇒ `(7)/(x - 2) = (5 + 9)/(3)`
⇒ `(7)/(x - 2) = (14)/(3)`
⇒ 21 = 14(x - 2)
⇒ 21 = 14x - 28
⇒ 49 = 14x
⇒ x = `(49)/(14)`
⇒ x = `(7)/(2)`.
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