How do you solve $2x - 9 = 0?$
Answer
620.1k+ views
Hint:First send the variables and the constants opposite sides to each other (generally, variables on the left hand side and constants on the right hand side) with the help of algebraic operations. And after simplifying this way, divide both sides of the equation with the coefficient of the variable in order to get the required solution.
Complete step by step answer:
In order to solve the given equation $2x - 9 = 0$, we will first simplify the equation by sending the variables to the left hand side and the constants to the right hand side with help of algebraic operations. In the given equation,
$2x - 9 = 0$
Adding $9$ to both sides in order to send the constant of the equation to the right hand side, we will get
$\Rightarrow 2x - 9 + 9 = 0 + 9 \\
\Rightarrow 2x = 9 $
Now dividing both sides with $2$ which is the coefficient of the variable $x$ in order to get the required solution for $x$, we will get
$\Rightarrow \dfrac{{2x}}{2} = \dfrac{9}{2} \\
\Rightarrow x = \dfrac{9}{2} = 4.5 \\ $
Therefore we get the required solution for the equation $2x - 9 = 0$ that is $x = 4.5$.
Additional information:
This problem can also be solved with the help of its graph, to solve this graphically, first plot its graph and then see on which value its graph is crossing the x-axis, that particular value will be the solution for this equation. Also this equation is of one degree and one variable, so its graph will be parallel to the y-axis.
Note:When sending a constant or variable to the opposite side, perform the algebraic operation with both the sides in order to maintain the balance of the equation, otherwise the original equation will be changed and the solution will be incorrect.
Complete step by step answer:
In order to solve the given equation $2x - 9 = 0$, we will first simplify the equation by sending the variables to the left hand side and the constants to the right hand side with help of algebraic operations. In the given equation,
$2x - 9 = 0$
Adding $9$ to both sides in order to send the constant of the equation to the right hand side, we will get
$\Rightarrow 2x - 9 + 9 = 0 + 9 \\
\Rightarrow 2x = 9 $
Now dividing both sides with $2$ which is the coefficient of the variable $x$ in order to get the required solution for $x$, we will get
$\Rightarrow \dfrac{{2x}}{2} = \dfrac{9}{2} \\
\Rightarrow x = \dfrac{9}{2} = 4.5 \\ $
Therefore we get the required solution for the equation $2x - 9 = 0$ that is $x = 4.5$.
Additional information:
This problem can also be solved with the help of its graph, to solve this graphically, first plot its graph and then see on which value its graph is crossing the x-axis, that particular value will be the solution for this equation. Also this equation is of one degree and one variable, so its graph will be parallel to the y-axis.
Note:When sending a constant or variable to the opposite side, perform the algebraic operation with both the sides in order to maintain the balance of the equation, otherwise the original equation will be changed and the solution will be incorrect.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

Mark the following places in the given outline map class 7 social science CBSE


