The correct option is B x= 3 2 . Given, 8x 3 3x =2 Multiplying both sides by 3x,we get ⇒ 3x× 8x 3 3x =2× 3x ⇒ 8x 3=6x ...

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Standard X

Mathematics

Calculating Heights and Distances

Solve: 8x -...

Question

Solve: $\frac{8 x - 3}{3 x} = 2$

x = \frac{1}{5}

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x = \frac{3}{2}

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x = \frac{7}{2}

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x = \frac{3}{5}

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Solution

The correct option is B $x = \frac{3}{2}$ .
$G i v e n, \frac{8 x - 3}{3 x} = 2 M u l t i p l y i n g b o t h s i d e s b y 3 x, w e g e t \Rightarrow 3 x \times \frac{8 x - 3}{3 x} = 2 \times 3 x \Rightarrow 8 x - 3 = 6 x \Rightarrow 8 x - 6 x = 3 [T r a n s p o s i n g 6 x t o L H S a n d 3 t o R H S] \Rightarrow 2 x = 3 \Rightarrow x = \frac{3}{2}$
Hence, the solution of given equation is $\frac{3}{2}$ .

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Solve :

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

Solve for x :-

\frac{x + 7}{3} = 1 + \frac{3 x - 2}{5}

Q. Solve :

\frac{x + 7}{3} = 1 + \frac{3 x - 2}{5}

Q. Solve:

2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2}

Q. Solve the following linear equations.

2 (3 - 2 x) = 13

\frac{x}{2} = 5 + \frac{x}{3}

7 (x - 2) = 2 (2 x - 4)

3 x - \frac{1}{3} = 2 (x - \frac{1}{2}) + 5

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Solve: 8x−33x=2

The correct option is B x=32.Given,8x−33x=2Multiplyingbothsidesby3x,weget⇒3x×8x−33x=2×3x⇒8x−3=6x⇒8x−6x=3[Transposing6xtoLHSand3toRHS]⇒2x=3⇒x=32Hence, the solution of given equation is 32.

Solve: $\frac{8 x - 3}{3 x} = 2$