Solve for x- 6 x-7-2 x-1-3 x-1-x-5

The correct option is A 2Given equation is 6x 7/2x+1=3x+1/x+5 ⇒ (6x 7)(x + 5) = (3x + 1)(2x + 1) ⇒ 6x^2 + 30x – 7x – 35 = 6x^2 + 3x + 2x + 1 ⇒ 23x – 3x – ...

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

Byju's Answer

Standard VII

Mathematics

Solving an Equation

Solve for x: ...

Question

Solve for $x : \frac{6 x - 7}{2 x + 1} = \frac{3 x + 1}{x + 5}$

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

-2

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

Open in App

Solution

The correct option is A 2
Given equation is $\frac{6 x - 7}{2 x + 1} = \frac{3 x + 1}{x + 5}$

$\Rightarrow (6 x - 7) (x + 5) = (3 x + 1) (2 x + 1)$

$\Rightarrow 6 x^{2} + 30 x - 7 x - 35 = 6 x^{2} + 3 x + 2 x + 1$

$\Rightarrow 23 x - 3 x - 2 x = 35 + 1$

$\Rightarrow 18 x = 36$

$\Rightarrow x = \frac{36}{18}$

$\Rightarrow x = 2$

Suggest Corrections

Similar questions

Q. Solve for

x : (3 x + 4) (2 x - 5) - 122 = (6 x - 1) (x + 10)

Q. Solve:

2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2}

Q. Solve

6 x + 1 = 3 (x - 1) + 7

for the value of

x

Q. Solve the following equation
(a)

5 x - 11 = 2 x + 7

(b)

3 (x - 8) - 2 (x - 5) = 2 - 5 x

(c)

2 (3 x + 1) - 7 = 2 (6 x - 7)

Q. Solve for

x

\frac{(3 x + 1)}{6} + \frac{(2 x - 3)}{7} = \frac{(x + 3)}{8} + \frac{(3 x - 1)}{14}

Join BYJU'S Learning Program

Solve for x:6x−72x+1=3x+1x+5

The correct option is A 2Given equation is 6x−72x+1=3x+1x+5 ⇒(6x−7)(x+5)=(3x+1)(2x+1) ⇒6x2+30x–7x–35=6x2+3x+2x+1 ⇒23x–3x–2x=35+1 ⇒18x=36 ⇒x=3618 ⇒x=2

Solve for $x : \frac{6 x - 7}{2 x + 1} = \frac{3 x + 1}{x + 5}$