Algebra: Variables
Substitution
Substitution
If a variable occurs in an expression, you can enter any number for that variable. In other words, replace every occurrence of that variable in the expression by a number. This process is called substitution. |
Example Calculate #\blue{x}^2+\blue{x}# for #\blue{x}=\green{3}#: \[{\blue{x}^2+\blue{x}=}{\green{3}^2+\green{3}}{=12}\] |
#12#
#\begin{array}{rcl}
\displaystyle {{\left(x+2\right)\cdot \left(x^2+x\right)}\over{2}} &=& \displaystyle{{\left(2+2\right)\cdot \left(2^2+2\right)}\over{2}} \\
&&\blue{\text{\(x\) replaced with \(2\)}}\\
&=& \displaystyle 12 \\
&&\blue{\text{calculated}}\\
\end{array}#
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