Question

Solve the following equation and also verify your solution:
13(y − 4) − 3(y − 9) − 5(y + 4) = 0

Answer 1

\[13(y - 4) - 3(y - 9) - 5(y + 4) = 0\]
\[\text{ or }13y - 52 - 3y + 27 - 5y - 20 = 0\]
\[\text{ or }5y = 45\]
\[\text{ or }y = \frac{45}{5} = 9\]
\[\text{ Verification: }\]
\[\text{ L . H . S . }= 13(9 - 4) - 3(9 - 9) - 5(9 + 4)\]
\[ = 13 \times 5 - 3 \times 0 - 5 \times 13 = 0 =\text{ R . H . S .} \]