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Linear Equations in One Variable — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsLinear Equations in One Variable5 Marks
Question
$\frac{1}{3}-\text{2x}=0$
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Answer

$\frac{1}{3}-\text{2x}=0$
Subtracting 13 from both sides, we get
$\frac{1}{3}-2\text{x}-\frac13=0-\frac13$
$-2\text{2x}=-\frac13$
Multiplying both sides by -1, we get
$-2\text{x}\times(-1)=-\frac{1}{3}\times(-1)$
$2\text{x}=\frac13$
Dividing both sides by 2, we get
$\frac{2\text{x}}{2}=\frac{\frac13}{2}$
$\text{x}=\frac16$
Verification:
Substituting $\text{x}=\frac16$ in L.H.S., we get
$\text{L.H.S.}=\frac13-2\times\frac16=\frac13-\frac13=0,$ and $\text{R.H.S.}=0$
$\text{L.H.S.}=\text{R.H.S.}$
Hence Verified.

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