MyQuestionIcon

6

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Performing Mathematical Operations on Equation

Solve the lin...

Question

Solve the linear equation:
$\frac{2 x + 1}{3 x - 1} = \frac{3}{2}$

A

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1$
Given, $\frac{2 x + 1}{3 x - 1} = \frac{3}{2}$
On cross multiplying, we get
$2 (2 x + 1) = 3 (3 x - 1)$
$\Rightarrow 4 x + 2 = 9 x - 3$
$\Rightarrow 2 + 3 = 9 x - 4 x$
$\Rightarrow 5 x = 5$
$\Rightarrow x = 1$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following linear equation

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

Q. Solve the following linear equation :

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

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

\frac{3 x - 1}{2} = \frac{2 x + 6}{3}

Q. Solve the equations:

\frac{2 x^{3} - 3 x^{2} + x + 1}{2 x^{3} - 3 x^{2} - x - 1} = \frac{3 x^{3} - x^{2} + 5 x - 13}{3 x^{3} - x^{2} - 5 x + 13}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Equations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Performing Mathematical Operations on Equation

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon