Question

5/2=3/x then x = what is the question

Answer 1

Answer:

x = 6/5

Explanation:

As per the provided question, we are given an equation and we've to find the value of the variable x. In order to do that so, we'll be cross multiply the values and use the transposition method.

$\bf{\red{\dag} }$ Transposition method :

• This is the method used to solve a linear equation having variables and constants.
• In this method, we transpose the values from R.H.S to L.H.S and vice-versa and changes its sign while transposing to find the value of the unknown value.

Now, we have the equation :

$\longmapsto\rm {\dfrac{5}{2} = \dfrac{3}{x} }$

By using cross multiplication method,

$\longmapsto\rm {5(x) = 2(3) }$

Performing multiplication in both L.H.S ans R.H.S.

$\longmapsto\rm {5x = 6 }$

Now, transposing 5 from L.H.S. to R.H.S, its arithmetic operator will get changed.

$\longmapsto\bf {x = \dfrac{6}{5} }$

∴ The value of x is 6/5.

Answer 2

Question:

$\red\longmapsto\;\;\sf If\;\dfrac{5}{2}=\dfrac{3}{x}\;\; ,\textsf{then what is the value of x.}$

Solution:

$\implies \sf\dfrac{5}{2}=\dfrac{3}{x} \\\\\bigstar\;\textsf{Cross multiplying :}\\\\\implies \sf 5 \times x = 3\times 2 \\\\\implies \sf 5x = 6 \\\\\bigstar\;\textsf{Divinding both sides by 5 :}\\\\\implies \sf\dfrac{5x}{\green{5}}= \dfrac{6}{\green{5}}\\\\\implies  \sf\dfrac{\cancel{5}x}{\cancel{5}}= \dfrac{6}{5}\\\\ ::\implies x = \dfrac{6}{5}$

Therefore,

• x = 6/5.