Alles samen. Gebruik stappenplan en ZRM!
\((-3x+\frac{5}{6})=-5x+\frac{3}{4}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{} (-3x+\frac{5}{6})& = & -5x+\frac{3}{4} \\\Leftrightarrow & -3x+\frac{5}{6}& = & -5x+\frac{3}{4} \\ & & & \text{kgv van noemers 6 en 4 is 12} \\\Leftrightarrow & \color{blue}{12} .(-3x+\frac{5}{6})& = & (-5x+\frac{3}{4}). \color{blue}{12} \\\Leftrightarrow & -36x \color{red}{+10} & = & \color{red}{-60x} +9 \\\Leftrightarrow & -36x \color{red}{+10} \color{blue}{-10} \color{blue}{+60x} & = & \color{red}{-60x} +9 \color{blue}{+60x} \color{blue}{-10} \\\Leftrightarrow & -36x+60x& = & 9-10 \\\Leftrightarrow & \color{red}{24} x& = & -1 \\\Leftrightarrow & x = \frac{-1}{24} & & \\ & V = \left\{ \frac{-1}{24} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-05-31 05:42:37