Question 72Solve the following-3x-2-2x-3-3-4

Given, 3x+2/2x 3= 3/4 ⇒ 4(3x+2)= 3(2x 3) ⇒ 12x+8= 6x+9 ⇒ 12x+6x=9 8 ⇒ 18x=1 ⇒18x/18=1/18 ∴ x=1/18 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Solution of an Equation

Question 72So...

Question

Question 72

Solve the following:

$\frac{3 x + 2}{2 x - 3} = - \frac{3}{4}$

Open in App

Solution

Given, $\frac{3 x + 2}{2 x - 3} = - \frac{3}{4} \Rightarrow 4 (3 x + 2) = - 3 (2 x - 3) \Rightarrow 12 x + 8 = - 6 x + 9 \Rightarrow 12 x + 6 x = 9 - 8 \Rightarrow 18 x = 1 \Rightarrow \frac{18 x}{18} = \frac{1}{18} ∴ x = \frac{1}{18}$

Suggest Corrections

Similar questions

Question 72

Solve the following:

$\frac{3 x + 2}{2 x - 3} = - \frac{3}{4}$

Question 65

Solve the following:

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

Question 1
Use suitable identities to find the following products:
(i) (x + 4) (x + 10)
(ii) (x+8) (x-10)
(iii) (3x + 4) (3x-5)
(iv) $(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})$
(c) (3-2x) (3+2x)

Q. Solve the equations:

\frac{3 x^{4} + x^{2} - 2 x - 3}{3 x^{4} - x^{2} + 2 x + 3} = \frac{5 x^{4} + 2 x^{2} - 7 x + 3}{5 x^{4} - 2 x^{2} + 7 x - 3}

Question 24
Factorise
(i) $2 x^{3} - 3 x^{2} - 17 x + 30$

(ii) $x^{3} - 6 x^{2} + 11 x - 6$

(iii) $x^{3} + x^{2} - 4 x - 4$

(iv) $3 x^{3} - x^{2} - 3 x + 1$

Join BYJU'S Learning Program

Explore more

Solution of an Equation

Standard VI Mathematics

Join BYJU'S Learning Program

Question 72 Solve the following: 3x+22x−3=−34

Given, 3x+22x−3=−34⇒4(3x+2)=−3(2x−3)⇒12x+8=−6x+9⇒12x+6x=9−8⇒18x=1⇒18x18=118∴x=118

Question 72

Solve the following:

$\frac{3 x + 2}{2 x - 3} = - \frac{3}{4}$

Given, $\frac{3 x + 2}{2 x - 3} = - \frac{3}{4} \Rightarrow 4 (3 x + 2) = - 3 (2 x - 3) \Rightarrow 12 x + 8 = - 6 x + 9 \Rightarrow 12 x + 6 x = 9 - 8 \Rightarrow 18 x = 1 \Rightarrow \frac{18 x}{18} = \frac{1}{18} ∴ x = \frac{1}{18}$