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# What are the factors of $18x - 45$?

Last updated date: 15th Jul 2024
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Hint: Factors are whole numbers that are multiplied to create a new number. The product number is a factor of the original numbers. $a$ and $b$are factors of $c$ if $a \times b = c$. In order to find out the factors of a given number we should use the multiplication table. The given question is in the form of a linear equation with one variable.

$ax + b = 0$
$x$ is a variable, and $a$ & $b$ are constants in this equation which cannot be zero.
We can proceed to calculate the factors $18x - 45$of as follows:
With the help of multiplication table, we can find out that is a $9$ common factor and the equation can be written as:
$\Rightarrow 18x - 45 = (9 \times 2x) - (9 \times 5)$
$\Rightarrow 18x - 45 = 9(2x - 5)$
Hence the factor is $9(2x - 5)$.
So, the correct answer is “s $9(2x - 5)$”.
Note: Linear equations are equations of degree $1$. In the given case, $x$ has power of $1$. Hence it is a linear equation. The geometrical representation of a degree/power one equation is a straight line, which is why it is called a linear equation.
There can be linear equations with more than one variable. E.g. $ax + by = c$has two variables $x$ and $y$.