Qstnid -A-21- 1/(x - 1) + 2/(x - 2) = 3/(x - 3) - 14: Linear Equations In One Variable Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

14: Linear Equations in one Variable Class 8 Maths

with Solutions - page 2

Qstn# A-21 Prvs-Qstn Next-Qstn

#21
1/(x - 1) + 2/(x - 2) = 3/(x - 3)
Ans : {1(x - 2) + 2(x - 1)}/{(x - 1)(x - 2)} = 3/(x - 3)
⇒ (x - 2 + 2x - 2)/(x² - 2x - x + 2) = 3/(x - 3)
⇒ (3x - 4)/(x² - 3x + 2) = 3/(x - 3)
⇒ (x - 3)(3x - 4) = 3(x² - 3x + 2)
⇒ 3x² - 4x - 9x + 12 = 3x² - 9x + 6
⇒ 3x² - 13x - 3x² + 9x = 6 - 12
⇒ - 4x = -6
⇒ x = -6/-4 = 3/2
⇒ x = 1 ½