Alles samen. Gebruik stappenplan en ZRM!
\(-7(-3x+\frac{3}{5})=5x+\frac{4}{15}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-7} (-3x+\frac{3}{5})& = & 5x+\frac{4}{15} \\\Leftrightarrow & 21x-\frac{21}{5}& = & 5x+\frac{4}{15} \\ & & & \text{kgv van noemers 5 en 15 is 15} \\\Leftrightarrow & \color{blue}{15} .(21x-\frac{21}{5})& = & (5x+\frac{4}{15}). \color{blue}{15} \\\Leftrightarrow & 315x \color{red}{-63} & = & \color{red}{75x} +4 \\\Leftrightarrow & 315x \color{red}{-63} \color{blue}{+63} \color{blue}{-75x} & = & \color{red}{75x} +4 \color{blue}{-75x} \color{blue}{+63} \\\Leftrightarrow & 315x-75x& = & 4+63 \\\Leftrightarrow & \color{red}{240} x& = & 67 \\\Leftrightarrow & x = \frac{67}{240} & & \\ & V = \left\{ \frac{67}{240} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2026-10-12 14:41:02