Question

Solve each of the following equations and check your answers:
$x-\frac{1}{3}=\frac{2}{3}$

Answer 1

x − $\frac{1}{3}$ = $\frac{2}{3}$
⇒ Adding $\frac{1}{3}$ to both sides, we get
⇒ x − $\frac{1}{3}$ +$\frac{1}{3}$ = $\frac{2}{3}$ + $\frac{1}{3}$
=> x = $\frac{2+1}{3}$
=> x = $\frac{3}{3}$
⇒ x = 1
Verification:
Substituting x= 1 in LHS, we get
LHS = 1 −$$$\frac{1}{3}$ =$\frac{3-1}{3}$$=\frac{2}{3}$, and RHS = $\frac{2}{3}$
LHS = RHS
Hence, verified.