Linear Equations in one variable — MATHS STD 6 — Question
Gujarat BoardEnglish MediumSTD 6MATHSLinear Equations in one variable3 Marks
Question
Solve the following equation and verify the answer: $\frac{\text{x}}{4}-8=1$
✓
Answer
$\frac{\text{x}}{4}-8=1$
$\Rightarrow\frac{\text{x}}{4}=1+8$ (Transporting $-8$ to $R.H.S.)$
$\Rightarrow\frac{\text{x}}{4}=9$
$\Rightarrow\frac{\text{x}}{4}\times4=9\times4$ (Multiplying both sides by $4)$
$\Rightarrow x = 36$
$\therefore \text{x}=36$ is a solution of the given equation.
Substituting $x = 36$ in the given equation,
we get $\text{L.H.S.}=\frac{36}{4}-8=9-8=1$ and $\text{R.H.S.}=1$
$\therefore$ When $x = 36$,
we have $L.H.S. = R.H.S.$
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