Question

Solve the equation. Write your answer as an integer or simplified fraction.

Answer 1

Explaination :

The given equation,

• $\boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar$

Lets start solving it..!!

★ Multiplying -6 by (n -2),

$\implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19}$

$\implies \: \sf{5n \: - 6n + 12 \: = \: 19}$

★ Subtracting 5n from 6n,

$\implies \: \sf{ - n + 12 \: = \: 19}$

★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,

$\implies \: \sf{ - n \: = \: 19 - 12}$

★ On subtracting 12 from 19 we gets,

$\implies \: \sf{ - n \: = \: 7}$

★ Now,

$\implies \: \red{\bf{ n \: = \: - 7} }$

Therefore,

• Value of n is -7