Alles samen. Gebruik stappenplan en ZRM!
\(-5(x-\frac{4}{11})=2x+\frac{6}{11}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-5} (x-\frac{4}{11})& = & 2x+\frac{6}{11} \\\Leftrightarrow & -5x+\frac{20}{11}& = & 2x+\frac{6}{11} \\ & & & \text{kgv van noemers 11 en 11 is 11} \\\Leftrightarrow & \color{blue}{11} .(-5x+\frac{20}{11})& = & (2x+\frac{6}{11}). \color{blue}{11} \\\Leftrightarrow & -55x \color{red}{+20} & = & \color{red}{22x} +6 \\\Leftrightarrow & -55x \color{red}{+20} \color{blue}{-20} \color{blue}{-22x} & = & \color{red}{22x} +6 \color{blue}{-22x} \color{blue}{-20} \\\Leftrightarrow & -55x-22x& = & 6-20 \\\Leftrightarrow & \color{red}{-77} x& = & -14 \\\Leftrightarrow & x = \frac{-14}{-77} & & \\\Leftrightarrow & x = \frac{2}{11} & & \\ & V = \left\{ \frac{2}{11} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2024-11-21 13:09:57