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Year 11 Maths - Methods Linear Relations

Linearly Related Variables, Linear Equations and Inequations

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Questions
Question 1
17622

The solution to \(\dfrac{{x + 2}}{3} - \dfrac{x}{2} + \dfrac{{x + 1}}{4} = 1\) is?

\(x = 1\)

\begin{aligned}
\frac{x+2}{3}-\frac{x}{2}+\frac{x+1}{4}&=1 \\
\textcolor{red}{12} \times \frac{x+2}{3}-\textcolor{red}{12} \times \frac{x}{2}+\textcolor{red}{12} \times \frac{x+1}{4}&=\textcolor{red}{12} \times 1 \\
4(x+2)-6 x+3(x+1)&=12 \\
4 x+8-6 x+3 x+3&=12 \\
x+11&=12 \\
x&=1
\end{aligned}

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