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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 $2\text{y}+\frac{5}{3}=\frac{26}{3}-\text{y},$ then $​​\text{y}=?$
  • A
    $1$
  • B
    $\frac{2}{3}$
  • C
    $\frac{6}{5}$
  • ✓
    $\frac{7}{3}$
✓

Answer

Correct option: D.
$\frac{7}{3}$
$2\text{y}+\frac{5}{3}=\frac{26}{3}-\text{y}$
$\Rightarrow\frac{6\text{y}+5}{3}=\frac{26-3\text{y}}{3}$
$\Rightarrow6\text{y}+5=26-3\text{y}$
$\Rightarrow6\text{y}+3\text{y}=26-5$
$\Rightarrow9\text{y}=21$
$\Rightarrow\text{y}=\frac{21}{9}=\frac{7}{3}$

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