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:
3(x + 6) = 24
✓
Answer
3(x + 6) = 24
$\Rightarrow\frac{3(\text{x}+6)}{3}=\frac{24}{3}$
(Dividing both sides by 3)
x + 6 = 8
⇒ x = 8 - 6
(Transposing 6 to R.H.S.)
⇒ x = 2
x = 2 is a solution of the given equation.
Check: Substituting the value of x = 2
in the given equation, we get
L.H.S. = 3(2 + 6 ) = 3 × 8 = 24
and RH.S. = 24
$\therefore$ When x = 2, we have L.H.S. = R.H.S.
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