Question

x/3+x/4+x/6=9 solve ​

Answer 1

Answer: ‘x’ = 12

(Explanation is given in above attached image.)

Answer 2

Answer:

The solution of the given equation is 12.

Step-by-step-explanation:

The given equation is

$\displaystyle{\sf\:\dfrac{x}{3}\:+\:\dfrac{x}{4}\:+\:\dfrac{x}{6}\:=\:9}$

We have to find the solution i. e. the value of x of the given equation.

Now,

$\displaystyle{\sf\:\dfrac{x}{3}\:+\:\dfrac{x}{4}\:+\:\dfrac{x}{6}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{4\:\times\:x\:+\:3\:\times\:x}{3\:\times\:4}\:+\:\dfrac{x}{6}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{4x\:+\:3x}{12}\:+\:\dfrac{x}{6}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{7x}{12}\:+\:\dfrac{x}{6}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{7x\:\times\:6\:+\:12\:\times\:x}{12\:\times\:6}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{42x\:+\:12x}{72}\:=\:9}$

$\displaystyle{\implies\sf\:\dfrac{54x}{72}\:=\:9}$

$\displaystyle{\implies\sf\:54x\:=\:9\:\times\:72}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{\cancel{9}\:\times\:72}{\cancel{54}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{72}{6}}}$

$\displaystyle{\implies\boxed{\red{\sf\:x\:=\:12}}}$

The solution of the given equation is 12.

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Additional Information:

1. Linear Equations in one variable:

When a equation has only one variable and degree 1, it is called as Linear equation in one variable.

2. Solution of Linear Equation in One Variable:

The value of the variable used in the equation when put up in the equation, then LHS becomes equal to RHS, such value of the variable is called as solution of linear equation in one variable.