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Linear Equations in One Variable — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLinear Equations in One Variable2 Marks
Question
Solve the following equations. Check your result in case. $\frac{\text{x}+2}{\text{x}-2}=\frac{7}{3}$
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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 $\text{x}=5$

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