Question

$\frac{7}{x - 3} = \frac{14}{4}$


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Answer 1

The given equation is :

$\dfrac{7}{x \:- \:3} \:=\: \dfrac{14}{4}$

We have to simply solve it. To find the value of x.

$\rightarrow\:\dfrac{7}{x\: - \:3} \:=\: \dfrac{14}{4}$

$\rightarrow\:\dfrac{7}{x \:- \:3} \:=\: \dfrac{7}{2}$

Cross multiply them

$\rightarrow\:2(7)\:=\:7(x\:-\:3)$

$\rightarrow\:14\:=\:7x\:-\:21$

$\rightarrow\:14\:+\:21\:=\:7x$

$\rightarrow\:35\:=\:7x$

$\rightarrow\:7x\:=\:35$

$\rightarrow\:x\:=\:\dfrac{35}{7}$

$\rightarrow\:\bold{\boxed{x\:=\:5}}$

From above calculations we have x = 5.

Now, let's check whether the answer is t ir not.

Put value of x in $\dfrac{7}{x \:- \:3} \:=\: \dfrac{14}{4}$

$\rightarrow\:\dfrac{7}{5\: - \:3} \:=\: \dfrac{14}{4}$

$\rightarrow\:\dfrac{7}{5\: - \:3} \:=\: \dfrac{7}{2}$

$\rightarrow\:\dfrac{7}{2} \:=\: \dfrac{7}{2}$

After putting value of x. We get,

L.H.S. = R.H.S.

Means, answer is correct.

Answer 2

$\bf{\huge{\underline{\boxed{\rm{\blue{Answer:}}}}}}$

Given equation :-

• $\bf\large\frac{7}{x - 3}$ = $\bf\large\frac{14}{2}$

To find :-

• Value of x

Solution :-

$\bf\large\frac{7}{x - 3}$ = $\bf\large\frac{14}{4}$

To get it a bit simpler, we will divide the RHS of the equation by 2

On dividing,

$\bf\large\frac{7}{x - 3}$ = $\bf\large\frac{7}{2}$

Cross multiplying,

2 (7) = 7 ( x - 3)

14 = 7x - 21

14 + 21 = 7x

35 = 7x

7x = 35

x = $\bf\large\frac{35}{7}$

On dividing,

x = 5

•°• Value of x for the equation $\bf\large\frac{7}{x - 3}$ = $\bf\large\frac{14}{4}$ is 5

$\bf{\huge{\underline{\boxed{\tt{\red{Verification:}}}}}}$

To check whether x = 5 is the suitable value for x in the equation, substitute the value of x in the equation

$\bf\large\frac{7}{x - 3}$ = $\bf\large\frac{7}{2}$

$\bf\large\frac{7}{5 - 3}$ = $\bf\large\frac{7}{2}$

$\bf\large\frac{7}{2}$ = $\bf\large\frac{7}{2}$

LHS = RHS!

Hence, x = 5 is the suitable value of the equation.