Question

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

Answer 1

$$\begin{gathered} 13(\mathrm{y}-4)-3(\mathrm{y}-9)-5(\mathrm{y}+4)=0 \\ \mathrm{or}13\mathrm{y}-52-3\mathrm{y}+27-5\mathrm{y}-20=0 \\ \mathrm{or}5\mathrm{y}=45 \\ \mathrm{or}\mathrm{y}=\frac{45}{5}=9 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=13(9-4)-3(9-9)-5(9+4) \\ =13\times 5-3\times 0-5\times 13=0=\mathrm{R}.\mathrm{H}.\mathrm{S}. \end{gathered}$$