Solve the equation and check the result : – 3(m + 5) + 1 = 13

1.	Solve the equation and check the result : – 3(m + 5) + 1 = 13
Answer» Given – 3(m + 5) 4-1 = 13 ⇒ – 3(m + 5)+ 1 – 1 = 13 – 1 (Subtract 1 on both sides) ⇒ – 3(m + 5) = 12 ⇒ \(\frac {-3(m+5)}{-3} = \frac {12}{-3}\) (Divide by – 3 on both sides) ⇒ m + 5 = – 4 ⇒ m + 5 – 5 = – 4 – 5 (Subtract 5 on both sides) ⇒ m = – 9 Check: Substitute m = – 9 in – 3(m + 5) + 1 = 13 LHS = – 3(m + 5) + 1 = – 3(- 9 + 5) + 1 = (- 3 × – 4) + 1 = + 12 + 1 = 13 = RHS Hence verified.

Answer»

Given – 3(m + 5) 4-1 = 13

⇒ – 3(m + 5)+ 1 – 1 = 13 – 1 (Subtract 1 on both sides)

⇒ – 3(m + 5) = 12

⇒ \(\frac {-3(m+5)}{-3} = \frac {12}{-3}\) (Divide by – 3 on both sides)

⇒ m + 5 = – 4

⇒ m + 5 – 5 = – 4 – 5 (Subtract 5 on both sides)

⇒ m = – 9

Check:

Substitute m = – 9 in – 3(m + 5) + 1 = 13

LHS = – 3(m + 5) + 1

= – 3(- 9 + 5) + 1

= (- 3 × – 4) + 1

= + 12 + 1 = 13 = RHS

Hence verified.

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