MyQuestionIcon

1

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

Addition of Rational Expressions

Simplify 2x+...

Question

Simplify
$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$

Open in App

Solution

$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$
$\Rightarrow \frac{4 x + 14 - 5 x + 55}{10} = \frac{2 x + 8 - 15}{3}$
$\Rightarrow 3 (- 11 x + 69) = 10 (2 x - 7)$
$\Rightarrow - 33 x + 207 = 20 x - 70$
$\Rightarrow 207 + 70 = (20 + 33) x$
$x = \frac{277}{53}$ .

Suggest Corrections

thumbs-up

3

Similar questions

\frac{2 x + 7}{5} - \frac{3 x + 11}{2} = \frac{2 x + 8}{3} - 5

Q. Simplify the polynomial and write it in standard form:

(- 2 x - 5) (2 x - 8) - (2 x - 5) (3 x + 7)

Q. Simplify the following expression:

(2 x^{2} + 7) + (- 3 x^{2} - 5)

Q. Simplify the following :
(i) (2x + 5) (3x - 2) + (x + 2) (2x - 3)

{(3 x^{2} - 6 x + 5) + (2 x - 2 x^{2} + 5)} - (x^{2} - 4 x + 10)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adaptive Q28

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition of Rational Expressions

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon