Algebra: Variables
Substitution
Substitution
If a variable occurs in an expression, you can enter any number for that variable. In other words: replace every occurence 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}#: \[{\blue{x}^2+\blue{x}=}{\green{3}^2+\green{3}}{=12}\] |
#17#
#\begin{array}{rcl}
\displaystyle x^2+x+5 &=& \displaystyle3^2+3+5 \\
&&\blue{\text{\(x\) replaced with \(3\)}}\\
&=& \displaystyle 17 \\
&&\blue{\text{calculated}}\\
\end{array}#
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