1.

Solve the following equations and check the result (Method of Transposition) : 25 = 18 – 7(b – 6)

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.



Discussion

No Comment Found