Question

x-5/3=x-3/5 in this below x-5 is 3 and below of x-5 is 5​

Answer 1

Answer:

The value of x is 8.

Step-by-step-explanation:

The given equation is

$\displaystyle{\sf\:\dfrac{x\:-\:5}{3}\:=\:\dfrac{x\:-\:3}{5}}$

We have to find the value of x.

Now,

$\displaystyle{\sf\:\dfrac{x\:-\:5}{3}\:=\:\dfrac{x\:-\:3}{5}}$

$\displaystyle{\implies\sf\:5\:(\:x\:-\:5\:)\:=\:3\:(\:x\:-\:3\:)}$

$\displaystyle{\implies\sf\:5x\:-\:25\:=\:3x\:-\:9}$

$\displaystyle{\implies\sf\:5x\:-\:3x\:=\:-\:9\:+\:25}$

$\displaystyle{\implies\sf\:2x\:=\:16}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{16}{2}}}$

$\displaystyle{\implies\:\underline{\boxed{\red{\sf\:x\:=\:8\:}}}}$

∴ The value of x is 8.

Answer 2

Given :-

• Equation :- $\large\sf{\frac{x -5}{3}=\frac{x-3}{5}}$

To Find :-

• The value of X .

Solution :-

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∓ Here, we will find the value of x .

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⠀⠀⠀$: \dashrightarrow \: \sf{\frac{x -5}{3}=\frac{x-3}{5}} \\ \\ : \dashrightarrow \: \sf{{5 \: (x - 5) = 3 \: (x - 3)}} \\ \\ : \dashrightarrow \: \sf{5x - 25 = 3x - 9} \\ \\ : \dashrightarrow \: \sf{5x - 3x = - 9 + 25} \\ \\ : \dashrightarrow \: \sf{2x = 16} \\ \\ : \dashrightarrow \: \sf{x = \cancel\frac{16}{2} } \\ \\ : \dashrightarrow \: \sf \red{x = 8}$

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Hence :-

• The value of x = 8 .

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