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Solve the following equation and verify the answer: x2=x3+1 - Mathematics

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प्रश्न

Solve the following equation and verify the answer:

`x/2=x/3+1`

योग

उत्तर

`x/2=x/3+1`

⇒ `x/2−x/3=1` [Transposing` x/3` to the L.H.S.]

⇒ `(3x−2x)/6=1`

⇒`x/6=1`

⇒ `x/6×6=1×6` [Multiplying both the sides by 6]
or, x = 6
Verification:
Substituting x = 6 on both the sides:
L.H.S.: `6/2 = 3`
R.H.S.: `6/3+ 1 = 2 + 1 = 3`
L.H.S. = R.H.S.
Hence, verified.

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अध्याय 9: Linear Equation in One Variable - Exercise 9B [पृष्ठ १४३]

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आरएस अग्रवाल Mathematics [English] Class 6
अध्याय 9 Linear Equation in One Variable
Exercise 9B | Q 14 | पृष्ठ १४३

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