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# If $98x=2$. Then find the value of x.

Last updated date: 26th Mar 2023
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Hint: Take LHS = 98x and RHS = 2. Take 2 to LHS, it becomes an algebraic expression. Simplify the expression received and solve the entity to obtain the value of x.

An algebraic expression is an expression built up from integers, constants, variables and exponentiation by an exponentiation by an exponent that is a rational number.
Given is the expression,
$98x=2$
Taking 2 to the LHS, we get
$98x-2=0$
Taking 2 common on LHS,
$2\left( 49x-1 \right)=0$
$\therefore$ We get $49x-1=0$
\begin{align} & \therefore 49x=1 \\ & x=\dfrac{1}{49} \\ \end{align}
Hence, we got the value of x as $\dfrac{1}{49}$.

Note:
The expression can be solved directly.
Take 98 to the denominator of RHS. 98 is a multiple of 2. So 98 has a common factor. So 98 can be written as $2\times 49$, which is equal to 98.
\begin{align} & \therefore 98x=2 \\ & \Rightarrow x=\dfrac{2}{98}=\dfrac{2}{2\times 49} \\ \end{align}
Cancel out 2 on the numerator and denominator.
$\therefore x=\dfrac{1}{49}$.