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ICSE-VIII-Mathematics

14: Linear Equations in one Variable Class 8 Maths

with Solutions -
Qstn# A-20 Prvs-QstnNext-Qstn
  • #20
    3x/(x + 6) - x(x + 5) = 2
    Ans : 3x/(x + 6) - x/(x + 5) = 2
    ⇒ {3x(x + 5) - x(x + 6)}/(x + 6)(x + 5) = 2
    ⇒ (3x2 + 15x - x2 - 6x)/(x2 + 5x + 6x + 30) = 2
    ⇒ (2x2 + 9x)/(x2 + 11x + 30) = 2
    ⇒ 2x2 + 9x = 2(x2 + 11x + 30)
    ⇒ 2x2 + 9x = 2x2 + 22x + 60
    ⇒ 2x22 - 2x2 + 9x - 22x = 60
    ⇒ -13x = 60
    ⇒ x = - 60/13⇒ x = -4 8/13