Answer

Verified

373.5k+ views

**Hint:**We solve the given linear equation by simplifying the equation. We divide both sides of the equation $2x=13$ with 2. Then we simplify the right-hand side fraction to get the solution for $x$. We use the G.C.D of the denominator and the numerator to divide both of them. We get the simplified form when the G.C.D is 1.

**Complete step by step answer:**

The given equation $5=2x-8$ is a linear equation of $x$.

We first try to simplify it by taking the constants and the variables separately on the opposite sides of the equality. We add both sides with 8.

$\begin{align}

& 5=2x-8 \\

& \Rightarrow 5+8=2x-8+8 \\

& \Rightarrow 2x=13 \\

\end{align}$

We divide both sides of the equation $2x=13$ with 2.

\[\begin{align}

& \dfrac{2x}{2}=\dfrac{13}{2} \\

& \Rightarrow x=\dfrac{13}{2} \\

\end{align}\]

We need to find the simplified form of the proper fraction $\dfrac{8}{10}$.

Simplified form is achieved when the G.C.D of the denominator and the numerator is 1.

This means we can’t eliminate any more common root from them other than 1.

For any fraction $\dfrac{p}{q}$, we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{p}/{}_{d}}{{}^{q}/{}_{d}}$.

For our given fraction $\dfrac{13}{2}$, the G.C.D of the denominator and the numerator is 1.

Therefore, this is the most simplified form of the fraction.

**Therefore, the solution of $5=2x-8$ is $\dfrac{13}{2}$.**

**Note:**The process of simplification comes from the G.C.D of the denominator and the numerator. In the case of a linear equation, the number of solutions in every case will be 1. The simplified form will be equal to the value of $x$.

Recently Updated Pages

How do you find the sum of the roots of the roots ofx2 class 10 maths CBSE

How do you construct perpendicular bisectors of a class 10 maths CBSE

How do you factor and solve x2 8x + 15 0 class 10 maths CBSE

How do you solve dfrac5y3dfracy+72y6+1 and find any class 10 maths CBSE

If Y cosxlog x + logxx then dfracdydx cosxlog xleft class 10 maths CBSE

How do you simplify left 3x1 rightleft 2x+6 right class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Name 10 Living and Non living things class 9 biology CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

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

Write a letter to the principal requesting him to grant class 10 english CBSE

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

Write the 6 fundamental rights of India and explain in detail