Question

Q1 . 2x-1/2 + 3x-1/3 =11/6
Q2. 3x-5/5 - x- 3/2 =2(x+5)

Answer 1

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Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

$\bold{1)} \bold{\huge{\frac{2x - 1}{2} - \frac{3x - 1 }{3} = \bold{\frac{11}{6}}}}$

$\implies \bold{\frac{6x - 3 + 6x - 2 {}} 6 = \bold{\frac{11}{6}}}}$

$\implies \bold{\frac{12x - 5 }{6 } = \frac{11}{6}}$

$\implies \bold{72x - 30 = 66}$

$\implies \bold{72x = 96}$

$\implies \bold{x = \frac{96}{72}}$

$\implies \bold{\boxed{\frac{4}{3}}}$

$\bold{2)} \bold{\huge{\frac{3x - 5 }5} - \frac{x - 3}{2} = \bold{ 2(x + 5) }}}$

$\implies \bold{\frac{6x - 10 - 5x - 15 }{10} = \bold{2x + 10}}$

$\implies \bold{\frac{x - 25}{10} = \bold{2x + 10}}$

$\implies \bold{x - 25 } = \bold{20x + 100}$

$\implies \bold{x - 20x = \bold{100 + 25}}$

$\implies \bold{19x} = \bold{125}$

$\implies \bold{\boxed{ x = \frac{125}{19}}}$