CameraIcon

SearchIcon

MyQuestionIcon

1

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

Solving Equations with Variables on Both Sides

Solve the fol...

Question

Question 51

Solve the following:

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

Open in App

Solution

Given, $\frac{2 x - 3}{4 x + 5} = \frac{1}{3} \Rightarrow 3 (2 x - 3) = 4 x + 5 \Rightarrow 6 x - 9 = 4 x + 5 \Rightarrow 6 x - 4 x = 9 + 5 \Rightarrow 2 x = 14 \Rightarrow \frac{2 x}{2} = \frac{14}{2} ∴ x = 7$

Suggest Corrections

thumbs-up

56

Similar questions

Q. Solve the following equations:
a)

5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)

6 - 4 (x + 3) = 2 (x - 1)

5 (1 - 2 x) + 2 (3 - x) = 3 (x + 4) + 14

Question 51

Solve the following:

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

Question 65

Solve the following:

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

Q. Solve the following inequality:

\frac{4 x + 3}{2 x - 5} < 6

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

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Solving Equations with Variables on Both Sides

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon