Solve 2x - 35 - x - 34 - 4x - 17

2x 35 + x + 34 = 4x + 17 4(2x 3) + 5(x + 3)20 = 4x + 17 7(8x 12 + 5x + 15) = 80x + 20 56x 84 + 35x + 105 = 80x + 20 91x 80x = ...

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Byju's Answer

Standard IX

Mathematics

Linear Equation in One Variable

Solve 2x - ...

Question

Solve: $\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{4 x + 1}{7}$

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Solution

$\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{4 x + 1}{7}$
L.C.M of $4, 5$ and $7$ is $140.$
On multiplying both sides by $140$ , we get
$\Rightarrow (\frac{2 x - 3}{5} \times 140) + (\frac{x + 3}{4} \times 140) = (\frac{4 x + 1}{7} \times 140)$

$\Rightarrow 28 (2 x - 3) + 35 (x + 3) = 20 (4 x + 1)$

$\Rightarrow 56 x - 84 + 35 x + 105 = 80 x + 20$

$\Rightarrow 91 x - 80 x = 20 - 105 + 84$

$\Rightarrow 11 x = - 1$

$∴ x = \frac{- 1}{11}$

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Similar questions

Q. Solve for

x : 11^{4 x - 5} \cdot 3^{2 x} = 5^{3 - x} \cdot 7^{- x}

Q. Solve for x

\frac{4 x - 3}{2 x + 1} - 10 (\frac{2 x + 1}{4 x - 3}) = 3; x \neq - \frac{1}{2}, \frac{3}{4}

Q. Solve for x

\frac{4 x - 3}{2 x + 1} - 10 (\frac{2 x + 1}{4 x - 3}) = 3, x \neq \frac{- 1}{2}, \frac{3}{4}

Solve:-

(i) $5 (3 x - 4) - 8 (6 x - 7) = 9 x - 8$

(ii) $2 x - \frac{3 x}{5} = 7$

(iii) $\frac{2 z}{3} - 5 = \frac{3 z}{4} - 1$

(iv) $\frac{4 x}{7} - 12 = 7$

Solve :

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

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Solve: 2x−35+x+34=4x+17

2x−35+x+34=4x+17L.C.M of 4,5 and 7 is 140.On multiplying both sides by 140, we get⇒(2x−35×140)+(x+34×140)=(4x+17×140)⇒28(2x−3)+35(x+3)=20(4x+1)⇒56x−84+35x+105=80x+20⇒91x−80x=20−105+84⇒11x=−1∴x=−111

Solve: $\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{4 x + 1}{7}$