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# How do you solve $9x = 27?$

Last updated date: 09th Aug 2024
Total views: 390.3k
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Answer
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390.3k+ views
Hint:The given problem involves the arithmetic operation of addition/ subtraction/ multiplication/ division. Also, we need to know how to find the greatest common factor between two numbers. To Solve the given equation we need to find the value of $x$. Also, we need to know how to convert the fraction into the whole number term.

Complete step by step solution:
The given question is shown below,
$9x = 27 \to \left( 1 \right)$
To solve the above equation we have to find the greatest common factor for $9$and$27$.$9$ can be divided by$1,3,9$. $27$ can be divided by $1,3,9,27$. So, the greatest common factor is $9$.
So, we would divide the equation $\left( 1 \right)$by$9$. So, we get
$\left( 1 \right) \to 9x = 27$
$\dfrac{{9x}}{9} = \dfrac{{27}}{9} \to \left( 2 \right)$
We know that,
$\dfrac{9}{9} = 1$
So, the equation$\left( 2 \right)$ becomes,
$x = \dfrac{{27}}{9}$
The above equation can also be written as,
$x = 3$
So, the final answer is,
$x = 3$

Note: The given question can also be solved by moving the term $9$ from the left side to the right side of the equation. So, we get $x = \dfrac{{27}}{9}$ it also can be written as $x = 3$. So, note that when we move a term from the left side to the right side of the equation the arithmetic operations can be converted as follows,
1) The multiplication process can be converted into a division process.
2) The division process can be converted into a division process.
3) The addition process can be converted into a subtraction process.
4) The subtraction process can be converted into a division process.
We can check the final answer by substituting the $x$ value in the given equation in the question. If the equation is verified we can confirm that our answer is correct.