Question

x-5/x+1 = 4/7
Pls answer this question

Answer 1

Answer:

13

Step-by-step explanation:

$\frac{x-5}{x+1} =\frac{4}{7} \\\\7(x-5)=4(x+1)\\\\7x-35=4x+4\\\\7x-4x=4+35\\\\3x=39\\\\x=\frac{39}{3} \\\\x=13$

Answer 2

Answer:

13

Step-by-step explanation:

As per the information provided in the question, We have :

• x-5/x+1 = 4/7

We are asked to find the value of x.

In order to find the value of, We need to cross multiply the fractions. Then, We will simplify it as much as possible until we find out the value of x.

Cross multiplying, I.e a/b = c/d then a × d = b × c.

We get,

$\longmapsto \rm \dfrac{x - 5}{x + 1} = \dfrac{4}{7}$

$\longmapsto \rm {(x - 5)} \times 7 = ({x + 1}) \times 4$

Expanding LHS and RHS,

$\longmapsto \rm 7x - 35 = 4x + 4$

Transposing 4x to the left hand side and transposing -35 to the right hand side,

$\longmapsto \rm 7x - 4x = 4 + 35$

Performing subtraction in LHS.

$\longmapsto \rm 3x = 4 + 35$

Performing addition in RHS.

$\longmapsto \rm 3x = 39$

Transposing 3 to RHS. Changing it's sign from (×) to (÷)

$\longmapsto \rm x = \dfrac{39}{3}$

Performing division.

$\longmapsto \rm x = 13$

∴ The value of x is 13.