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Linear Equations in One Variable — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSLinear Equations in One Variable1 Mark
MCQ
Tick $(\checkmark)$ the correct answer: If $\frac{\text{x}+1}{2\text{x}+3}=\frac{3}{8},$ then $​​\text{x}=?$
  • A
    $\frac{1}{4}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{6}$
  • ✓
    $\frac{1}{2}$
✓

Answer

Correct option: D.
$\frac{1}{2}$
$\frac{\text{x}+1}{2\text{x}+3}=\frac{3}{8}$
$\Rightarrow8(\text{x}+1​​)=3(2\text{x}+3)$
$\Rightarrow8​​\text{x}+8=6\text{x}+9$
$\Rightarrow8\text{x}-6\text{x}=9-8$
$\Rightarrow2\text{x}=1$
$\Rightarrow\text{x}=\frac{1}{2}$

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