Question

How do you solve $2x - 9 = 0?$

Answer 1

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.