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Linear Equations — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations2 Marks
Question
Solve: $\frac{2\text{x}+7}{3\text{x}+5}=\frac{15}{17}$
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Answer

$\frac{2\text{x}+7}{3\text{x}+5}=\frac{15}{17}$ $\Rightarrow17 ( 2\text{x} + 7 ) = 15 ( 3\text{x} + 5 ) $ $\Rightarrow34\text{x} + 119 = 45\text{x} + 75$ $\Rightarrow119 - 75 = 45\text{x} - 34\text{x}$ $\Rightarrow 44 = 11\text{x}$ $\Rightarrow \text{x} = \frac{44}{11}=4$ $\therefore\text{x}=4$

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