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Question -

Solve the linear equations.
 m – (m – 1)/2 = 1 – (m – 2)/3



Answer -

m – (m – 1)/2 = 1 – (m – 2)/3
⇒ m – m/2 – 1/2 = 1 – (m/3 – 2/3)
⇒ m – m/2 + ½ = 1 – m/3 + 2/3
⇒ m – m/2 + m/3 = 1 + 2/3 – ½
⇒ m/2 + m/3 = ½ + 2/3
⇒ (3m + 2m)/6 = (3 + 4)/6
⇒ 5m/6 = 7/6
⇒ m = 7/6 × 6/5
⇒ m = 7/5

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