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प्रश्न
Solve the following equation.
`("x" - 9)/("x" - 5) = 5/7`
उत्तर
`("x" - 9)/("x" - 5) = 5/7`
Multiplying both sides by 7(x - 5)
∴ `(("x" - 9)/("x" - 5)) xx 7 ("x" - 5) = 5/7 xx 7 ("x" - 5)`
∴ 7 (x – 9) = 5 (x – 5)
∴ 7x – 63 = 5x – 25
∴ 7x – 63 + 63 = 5x – 25 + 63 …[Adding 63 on both sides]
∴ 7x = 5x + 38
∴ 7x – 5x = 5x + 38 – 5x …[Subtracting 5x from both sides]
∴ 2x = 38
∴ `(2x)/2 = 38/2` …[Dividing both sides by 2]
∴ x = 19
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