ICSE-VIII-Mathematics
14: Linear Equations in one Variable Class 8 Maths
- #15(2x - 13)/5 - (x - 3)/11 = (x - 9)/5 + 1Ans : ⇒ (2x - 13)/5 - (x - 3)/11 = (x - 9)/5 + 1/1
Since, L.C.M. of denominators 5,11, 5 and 1 = 55
∴ (2x - 13)/5 × 55 - (x - 3)/11 ×55 = (x - 9)/5 × 55 + 1/1 × 55
⇒ 11(2x - 13) - 5(x - 3) = 11(x - 9) + 55
⇒ 22x - 143 - 5x + 15 = 11x - 99 + 55
⇒ 22x - 5x - 11x = - 99 + 55 + 143 - 15
⇒ 6x = 198 - 114
⇒ 6x = 84
⇒ x = 84/6
⇒ x = 14