Solve the following- 33-4x-2x-11-2The value of x is

The correct option is A 6/7 Given, 334x=2x 112 ⇒15x4=2x 32 ⇒15x4 2x+32=0 ⇒15x 8x+64=0 ⇒ 7x= 6 ⇒ x= 67 ...

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Standard XII

Mathematics

Chain Rule of Differentiation

Solve the fol...

Question

Solve the following:
$3 \frac{3}{4} x = 2 x - 1 \frac{1}{2}$
The value of $x$ is

- \frac{6}{7}

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- \frac{6}{13}

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\frac{5}{4}

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\frac{2}{7}

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Solution

The correct option is A $- \frac{6}{7}$
Given, $3 \frac{3}{4} x = 2 x - 1 \frac{1}{2}$
$\Rightarrow \frac{15 x}{4} = 2 x - \frac{3}{2}$
$\Rightarrow \frac{15 x}{4} - 2 x + \frac{3}{2} = 0$
$\Rightarrow \frac{15 x - 8 x + 6}{4} = 0$
$\Rightarrow 7 x = - 6$
$\Rightarrow x = - \frac{6}{7}$

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Q. Solve the following simultaneous equations:

\frac{7}{2 x + 1} + \frac{13}{y + 2} = 27, \frac{13}{2 x + 1} + \frac{7}{y + 2} = 33

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frequency	$2$	$1$	$4$	$2$	$3$	$6$

Q. What are the possible values of x, satisfying the equation

| 4 x + 6 | + 2 = 2 x + 3

Q. The solution set of the equation

{log}_{5 / (x^{2} + 6)} (13 + 4 x^{2} - 4 x) = {log}_{7 + \sqrt{x}} (- 2 x - x^{2})

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 the following:334x=2x−112The value of x is

The correct option is A −67Given, 334x=2x−112⇒15x4=2x−32⇒15x4−2x+32=0⇒15x−8x+64=0⇒7x=−6⇒x=−67

Solve the following:
$3 \frac{3}{4} x = 2 x - 1 \frac{1}{2}$
The value of $x$ is

The correct option is A $- \frac{6}{7}$
Given, $3 \frac{3}{4} x = 2 x - 1 \frac{1}{2}$
$\Rightarrow \frac{15 x}{4} = 2 x - \frac{3}{2}$
$\Rightarrow \frac{15 x}{4} - 2 x + \frac{3}{2} = 0$
$\Rightarrow \frac{15 x - 8 x + 6}{4} = 0$
$\Rightarrow 7 x = - 6$
$\Rightarrow x = - \frac{6}{7}$