Solve the equation and check the result : 3(p – 7) – 4 = 5

1.	Solve the equation and check the result : 3(p – 7) – 4 = 5
Answer» Given 3(p – 7) – 4 = 5 ⇒ 3(p – 7) – 4 + 4 = 5 + 4 (Add 4 on both sides) ⇒ 3(p – 7) = 9 \(\frac {3(p-7)}{3} = \frac 93\) (Divide by 3 on both sides) ⇒ p – 7 = 3 ⇒ p – 7 + 7 = 3 + 7 (Add 7 on both sides) ⇒ p = 10 Check: Substitute p = 10 in 3(p – 7) – 4 = 5 LHS = 3(p – 7) – 4. = 3(10 – 7) – 4. = 3 × 3 – 4 = 9 – 4 = 5 = RHS Hence verified.

Answer»

Given 3(p – 7) – 4 = 5

⇒ 3(p – 7) – 4 + 4 = 5 + 4 (Add 4 on both sides)

⇒ 3(p – 7) = 9

\(\frac {3(p-7)}{3} = \frac 93\) (Divide by 3 on both sides)

⇒ p – 7 = 3

⇒ p – 7 + 7 = 3 + 7 (Add 7 on both sides)

⇒ p = 10

Check:

Substitute p = 10 in

3(p – 7) – 4 = 5

LHS = 3(p – 7) – 4.

= 3(10 – 7) – 4.

= 3 × 3 – 4

= 9 – 4 = 5 = RHS

Hence verified.

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