Question
Solve the following equations. Check your result in case.
$\frac{\text{x}+2}{\text{x}-2}=\frac{7}{3}$
$\frac{\text{x}+2}{\text{x}-2}=\frac{7}{3}$
✓
Answer
$\frac{\text{x}+2}{\text{x}-2}=\frac{7}{3}$
By cross multiplication, We get
$7(\text{x}-2)=3(\text{x}+2)$
$7\text{x}-14=3\text{x}+6$
$\Rightarrow7\text{x}-3\text{x}=6+14$
$\Rightarrow4\text{x}=20$
$\Rightarrow\text{x}=\frac{20}{4}=5$
Check:
$\text{L.H.S.}=\frac{\text{x}+2}{\text{x}-2}$
$=\frac{5+2}{5-2}$
$=\frac{7}{3}=\text{R.H.S.}$
Hence $\text{x}=5$
By cross multiplication, We get
$7(\text{x}-2)=3(\text{x}+2)$
$7\text{x}-14=3\text{x}+6$
$\Rightarrow7\text{x}-3\text{x}=6+14$
$\Rightarrow4\text{x}=20$
$\Rightarrow\text{x}=\frac{20}{4}=5$
Check:
$\text{L.H.S.}=\frac{\text{x}+2}{\text{x}-2}$
$=\frac{5+2}{5-2}$
$=\frac{7}{3}=\text{R.H.S.}$
Hence $\text{x}=5$
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