Answer

Verified

449.4k+ views

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.

Complete step-by-step answer:

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.

\[\therefore x=\dfrac{1}{49}\].

Complete step-by-step answer:

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.

\[\therefore x=\dfrac{1}{49}\].

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How many crores make 10 million class 7 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths