Question

Simplify and solve the following linear equation: $0.25(4f-3)=0.05(10f-9)$

Answer 1

Simplification of linear equation:

Given: $0.25(4f-3)=0.05(10f-9)$

$0.25(4f–3)=0.05(10f–9)$

$\Rightarrow f–0.75=0.5f–0.45$

Rearranging the equation and combining like terms we get

$$\begin{gathered} f–0.5f=-0.45+0.75 \\ \Rightarrow 0.5f=0.30 \\ \Rightarrow f=0.30/0.5 \\ \Rightarrow f=3/5 \\ \Rightarrow f=0.6 \end{gathered}$$

Therefore, $f=0.6$.