Question

Solve each of the following equations and check your answers:
$\frac{4}{5}-x=\frac{3}{5}$

Answer 1

$\frac{4}{5}$ − x = $\frac{3}{5}$
Subtracting$$$\frac{4}{5}$ from both sides, we get
⇒ $\frac{4}{5}$ − x − $\frac{4}{5}$= $\frac{3}{5}$ + 6+ − $\frac{4}{5}$
⇒ −x = $\frac{3-4}{5}$
$\Rightarrow -\text{x}=\frac{-1}{5}$
Multiplying both sides by -1, we get
⇒ −x $\times$ (−1) = −$\frac{1}{5}$ $\times$ (−1)
⇒ x = $\frac{1}{5}$
Verification:
Substituting x= $\frac{1}{5}$ in LHS, we get
LHS = $\frac{4}{5}$ − $\frac{1}{5}$=$\frac{4-1}{5}=\frac{3}{5}$, and RHS = $\frac{3}{5}$
LHS = RHS
Hence, verified.