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Solve the following equations and check the result (Method of Transposition) : 25 = 18 – 7(b – 6) |
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Answer» Given 25 = 18 – 7(b – 6) ⇒ 25 – 18 = l8 – 7(b – 6) – 18 (Subtract 18 on both sides) ⇒ 7 = – 7(b – 6) ⇒ \(\frac {7}{-7} = \frac {-7(b-6)}{-7}\)(Divide by – 7 on both sides) ⇒ – 1 = b – 6 ⇒ – 1 + 6 = b – 6 + 6 (Add 6 on both sides) ⇒ 5 = b ∴ b = 5 (By transposition) Check: Substitute b = 5 in the given equation. RHS = 18- 7(b – 6) – = 18-7(5-6) = 18 – 7(- 1) = 18 + 7 = 25 = LHS Hence verified. |
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