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:
$6x + 5 = 2x + 17$
✓
Answer
$6x + 5 = 2x + 17 $
$\Rightarrow 6x - 2x = 17 - 5$ (Transposing $2x$ to $L.H.S$. and $5$ to $R.H.S.) $
$\Rightarrow 4x = 12$
$\Rightarrow\frac{\text{4x}}{4}=\frac{12}{4}$
(Dividing both sides by $4) $
$\Rightarrow x = 3 x = 3$ is a solution of the given equation.
Check : Substituting $x = 3$ in the given equation,
we get $L.H.S. = 6 \times 3 + 5 = 18 + 5 = 23$
$R.H.S. = 2 \times 3 + 17 = 6 + 17 = 23$
$\therefore$ When $x = 3$,
we have $L.H.S. = R.H.S.$
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