Question

Solve each of the following equations and check your answers:
$x+\frac{1}{2}=\frac{7}{2}$

Answer 1

x + $\frac{1}{2}$ = $\frac{7}{2}$
⇒ Subtracting $\frac{1}{2}$ from both sides, we get
⇒ x + $\frac{1}{2}$ − $\frac{1}{2}$ = $\frac{7}{2}$ − $\frac{1}{2}$
$\Rightarrow \text{x=}\frac{7-1}{2}=\frac{6}{2}$
⇒ x = 3
Verification:
Substituting x = 3 in LHS, we get
LHS = 3 + $\frac{1}{2}$=$\frac{6+1}{2}=\frac{7}{2}$, and RHS = $\frac{7}{2}$
LHS = RHS
Hence, verified.