Answer :
The simplified expression of the given Linear expression is [tex]\frac{x}{2} - 2[/tex]
As per the question statement, we are supposed to find out the simplified expression of the given Linear expression [tex]\frac{2}{9} (\frac{9x}{4} -9)[/tex]
Before solving this, we need to be clear about the algebraic expressions basics and integers operations and how we can deduce an algebraic expression into its simplest form.
[tex]\frac{2}{9} (\frac{9x}{4} -9)\\=\frac{2}{9}(\frac{9x-36}{4} )\\=\frac{9x-36}{2*9} \\=\frac{9x}{18} - \frac{36}{18} \\=\frac{x}{2} -2[/tex]
Hence [tex]\frac{x}{2} - 2[/tex] is the simplified expression of the given Linear expression.
- Linear expression: A linear expression is any algebraic expression in which each term is either a constant or is a variable raised to the some power.
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