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ICSE-VIII-Mathematics

14: Linear Equations in one Variable Class 8 Maths

with Solutions - page 2
Qstn# A-23 Prvs-QstnNext-Qstn
  • #23
    1/(x - 1) - 1/x = 1/(x + 3) - 1/(x + 4)
    Ans : /(x - 1) - 1/x = 1/(x + 3) - 1/(x + 4)
    ⇒ {x - (x - 1)}/(x - 1)x = {(x + 4) - (x + 3)}/{(x + 3)(x + 4)}
    = 1/(x - 1)x = 1/(x + 3)(x + 4)
    = (x + 3)(x + 4)
    = x(x - 1)
    ⇒ x2+ 4x + 3x + 12 = x2 - x
    ⇒ x2 + 7x - x2 + x = -12
    ⇒ 8x = -12
    ⇒ x = -12/8 = -3/2
    ⇒ x = -1 ½