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ICSE-VIII-Mathematics

14: Linear Equations in one Variable Class 8 Maths

with Solutions - page 2
Qstn# A-24 Prvs-QstnNext-Qstn
  • #24
    Solve : 2x/3 - (x - 1)/6 + (7x - 1)/4 = 2 1/6
    Ans : 2x/3 - (x - 1)/6 + (7x - 1)/4 = 2 1/6
    ⇒ 2x/3 - (x - 1)/6 + (7x - 1)/4 = 13/6
    ⇒ (8x - 2x + 2 + 21x - 3)/12 = 26 (L.C.M. of 3, 6, 4, 6 = 12)
    ⇒ 27x - 1 = 26
    ⇒ 27x = 26 + 1
    ⇒ x = 27/27 = 1
    Now, 1/a + 5x = 8
    ⇒ 1/a + 5 × 1 = 8
    ⇒ 1/a + 5 = 8
    ⇒ 1/a = 8 - 5 = 3
    ∵ 3a = 1
    ⇒ a = 1/3
    ∴ x = 1 and a = 1/3