Alles samen. Gebruik stappenplan en ZRM!
\(-2(-2x-\frac{2}{11})=-3x+\frac{5}{6}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-2} (-2x-\frac{2}{11})& = & -3x+\frac{5}{6} \\\Leftrightarrow & 4x+\frac{4}{11}& = & -3x+\frac{5}{6} \\ & & & \text{kgv van noemers 11 en 6 is 66} \\\Leftrightarrow & \color{blue}{66} .(4x+\frac{4}{11})& = & (-3x+\frac{5}{6}). \color{blue}{66} \\\Leftrightarrow & 264x \color{red}{+24} & = & \color{red}{-198x} +55 \\\Leftrightarrow & 264x \color{red}{+24} \color{blue}{-24} \color{blue}{+198x} & = & \color{red}{-198x} +55 \color{blue}{+198x} \color{blue}{-24} \\\Leftrightarrow & 264x+198x& = & 55-24 \\\Leftrightarrow & \color{red}{462} x& = & 31 \\\Leftrightarrow & x = \frac{31}{462} & & \\ & V = \left\{ \frac{31}{462} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2026-04-14 08:20:58