Linear Equations in one variable — Maths STD 6 — Question
Maharashtra 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)
⇒ 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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