Alles samen. Gebruik stappenplan en ZRM!
\(-(5x-\frac{2}{5})=4x+\frac{4}{3}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-} (5x-\frac{2}{5})& = & 4x+\frac{4}{3} \\\Leftrightarrow & -5x+\frac{2}{5}& = & 4x+\frac{4}{3} \\ & & & \text{kgv van noemers 5 en 3 is 15} \\\Leftrightarrow & \color{blue}{15} .(-5x+\frac{2}{5})& = & (4x+\frac{4}{3}). \color{blue}{15} \\\Leftrightarrow & -75x \color{red}{+6} & = & \color{red}{60x} +20 \\\Leftrightarrow & -75x \color{red}{+6} \color{blue}{-6} \color{blue}{-60x} & = & \color{red}{60x} +20 \color{blue}{-60x} \color{blue}{-6} \\\Leftrightarrow & -75x-60x& = & 20-6 \\\Leftrightarrow & \color{red}{-135} x& = & 14 \\\Leftrightarrow & x = \frac{14}{-135} & & \\\Leftrightarrow & x = \frac{-14}{135} & & \\ & V = \left\{ \frac{-14}{135} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-04-26 07:20:18