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Linear Equations in One Variable — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations in One Variable4 Marks
Question
$\frac{5\text{x}}{3}+\frac{2}{5}=1$
✓

Answer

$\frac{5\text{x}}{3}+\frac{2}{5}=1$
Subtracting $\frac{2}{5}$ from both sides:
$\frac{5\text{x}}{3}+\frac{2}{5}-\frac{2}{5}=1-\frac{2}{5}$
$\Rightarrow\frac{5\text{x}}{3}=\frac{3}{5}$
$\Rightarrow$ Multiplying $\frac{3}{5}$ both sides
$\frac{5}{3}\text{x}\times\frac{3}{5}=\frac{3}{5}\times\frac{3}{5}$
$\Rightarrow\text{x}=\frac{9}{25}$
Verification:
$\text{L.H.S}$ $=\frac{5\text{x}}{3}+\frac{2}{5}$
$=\frac{5}{3}\times\frac{9}{25}+\frac{2}{5}$
$=\frac{3}{5}+\frac{2}{5}=\frac{3+2}{5}=\frac{5}{5}$
$=1=\text{R.H.S}$

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