Question

x/3 + x/4 = 14
and verify​

Answer 1

Answer: Value of x is 24

Step-by-step explanation:

In context to the given question:

we have to find that value of x which satisfy the given equation and we have to verify

given:

x/3 + x/4 = 14

by taking LCM we get,

(4x + 3x) / 12 = 14

7x / 12 = 14

7x = 14 (12)

7x = 168

x = 168/7

x = 24

For verification;

lets put the value of x in the given equation

x/3 + x/4 = 14

24/3 + 24 /4 = 14

8 + 6 = 14

14 = 14

hence, Verified

hence we can say that the value of x is 24

Answer 2

Answer:

On solving equation  $\frac{x}{3}+ \frac{x}{4} = 14$  we get value of $x$ as $x = 24$  .

LHS = RHS hence , verified .

Step-by-step explanation:

To find : value of $x$ and verify it .  

Given : $\frac{x}{3}+ \frac{x}{4} = 14$

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,  

         $\frac{x}{3}+ \frac{x}{4} = 14\\\\ \frac{4x + 3x}{3\times 4} = 14\\\\ \frac{7x}{12}= 14 \\\\7x = 14\times 12\\\\ 7x = 168\\\\ x= 24$

• Verification :  to verify equation we substitute value of $x$ in  $\frac{x}{3}+ \frac{x}{4} = 14$ /
• LHS = $\frac{24}{3} + \frac{24}{4}$

               $= 8 + 6\\\\ = 14$  

      RHS  $= 14$

Since , LHS = RHS  , hence verified .