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:
6x + 5 = 2x + 17
✓
Answer
6x + 5 = 2x + 17 ⇒ 6x - 2x = 17 - 5 (Transposing 2x to L.H.S. and 5 to R.H.S.) ⇒ 4x = 12$\Rightarrow\frac{\text{4x}}{4}=\frac{12}{4}$
(Dividing both sides by 4) ⇒ 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 × 3 + 5 = 18 + 5 = 23 R.H.S. = 2 × 3 + 17 = 6 + 17 = 23 $\therefore$ When x = 3, we have L.H.S. = R.H.S.
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