Solve the linear equation- 2x - 3x - 7-5x - 3 - 4 - 3

The correct option is C x= 5 8 We have, 2x (3x+7) (5x 3)+4 =3 ⟹ x 7 5x+1 =3 ⟹ x 7=3(5x+1) [By cross multiplication] ⟹ ...

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Standard X

Mathematics

Quadratic Equation

Solve the lin...

Question

Solve the linear equation:
$\frac{2 x - (3 x + 7)}{(5 x - 3) + 4} = 3$

x = \frac{5}{8}

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x = \frac{- 2}{9}

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x = \frac{- 5}{8}

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x = \frac{4}{3}

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Solution

The correct option is C $x = \frac{- 5}{8}$
$W e h a v e, \frac{2 x - (3 x + 7)}{(5 x - 3) + 4} = 3 ⟹ \frac{- x - 7}{5 x + 1} = 3 ⟹ - x - 7 = 3 (5 x + 1) [B y c r o s s - m u l t i p l i c a t i o n] ⟹ - x - 7 = 15 x + 3 ⟹ - x - 15 x = 3 + 7 [T r a n s p o s i n g 15 x t o L H S a n d - 7 t o R H S] ⟹ - 16 x = 10 ⟹ x = \frac{- 10}{16} o r x = \frac{- 5}{8}$

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$(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$