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NSW Y8 Maths

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NSW Y8 Maths Algebra Substitution

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Substitution Theory

\begin{multicols}{2} \textbf{Example 1}\\ Evaluate \(\dfrac{x+y}{2}+\dfrac{y-z}{4}\)\\ given that \(x=8,\; y=2\) and \(z=6\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} \frac{x+y}{2}+\frac{y-z}{4} & =\frac{8+2}{2}+\frac{2-6}{4} \\ & =\frac{10}{2}-\frac{4}{4} \\ & =5-1 \\ & =4 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Evaluate \(4 a b c^2-2 a^2 b^2 c\)\\ given that \(a=3, b=-2\) and \(c=-1\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} &4 a b c^2-2 a^2 b^2 c \\ & =4 \times 3 \times-2 \times(-1)^2-2 \times(3)^2 \times(-2)^2 \times-1 \\ & =12 \times-2 \times 1-2 \times 9 \times 4 \times-1 \\ & =-24-18 \times-4 \\ & =-24+72 \\ & =48 \end{aligned}\) \end{multicols}

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Videos relating to Substitution.

  • Substitution - Video - Substitution - Example 1

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  • Substitution - Video - Substitution - Example 2

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