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प्रश्न
Solve the following equations for the unknown: `(1)/(x - 1) + (4)/(5) = (2)/(3), x ≠ 1`
उत्तर
`(1)/(x - 1) + (4)/(5) = (2)/(3), x ≠ 1`
⇒ `(1)/(x - 1) = (2)/(3) - (4)/(5)`
⇒ `(1)/(x - 1) = (10)/(15) - (12)/(15)`
⇒ `(1)/(x - 1) = (-2)/(15)`
⇒ 15 = -2(x - 1)
⇒ 15 = -2x + 2
⇒ 2x = -13
⇒ x = `(-13)/(2)`
⇒ x = `-6(1)/(2)`.
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