Question

solve the following equation x+5/x+13=3/5 ​

Answer 1

Answer:

On solving $\frac{x+ 5}{x + 13} =\frac{3}{5}$ we get value of $x$ as , $x = 7$ .

Step-by-step explanation:

To find : value of $x$  

Given : $\frac{x+ 5}{x + 13} =\frac{3}{5}$

Solution :

• Here, we will use the below following steps to find a solution using the transposition method:

1. We will Identify the variables and constants in the given equation.
2. Then we differentiate the equation as LHS and RHS.
3. We take constants at RHS leaving variable at LHS.  
4. Simplify the equation using arithmetic operation as required to find the value of $x$ .  
5. Then the result will be the solution for the given linear equation. By using the transposition method. we get,

         $\frac{x+ 5}{x + 13} =\frac{3}{5}\\\\ 5( x + 5 )= 3 ( x + 13 )\\\\ 5x + 25 = 3 x + 39 \\\\ 5x - 3x = 39 - 25 \\\\ 2x = 14\\\\x = \frac{14}{2}\\\\ x = 7$

Note :

Question for above solution is : solve the following equation and find the value of $x$ ,  $\frac{x+ 5}{x + 13} =\frac{3}{5}$

Answer 2

x=7

Explanation:

Given:

$\frac{x+5}{x+13}=\frac{3}{5}$

To find:

The value of x

Solution:

==> Doing Cross multiplication

==> $\frac{x+5}{x+13}=\frac{3}{5}$

==> 5(x+5)=3(x+13)

==> Solve LHS,

==> LHS = 5(x+5)

==> LHS = 5x+25

==> Solve RHS,

==> RHS= 3(x+13)

==> RHS = 3x+39

==> LHS = RHS

==> 5x+25 = 3x+39

==> Separating coefficient of x and constant

==> 5x-3x = 39-25

==> 2x = 14

==> x = 14÷2

==> x=7