Alles samen. Gebruik stappenplan en ZRM!
\(3(4x-\frac{3}{2})=x+\frac{8}{5}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{3} (4x-\frac{3}{2})& = & x+\frac{8}{5} \\\Leftrightarrow & 12x-\frac{9}{2}& = & x+\frac{8}{5} \\ & & & \text{kgv van noemers 2 en 5 is 10} \\\Leftrightarrow & \color{blue}{10} .(12x-\frac{9}{2})& = & (x+\frac{8}{5}). \color{blue}{10} \\\Leftrightarrow & 120x \color{red}{-45} & = & \color{red}{10x} +16 \\\Leftrightarrow & 120x \color{red}{-45} \color{blue}{+45} \color{blue}{-10x} & = & \color{red}{10x} +16 \color{blue}{-10x} \color{blue}{+45} \\\Leftrightarrow & 120x-10x& = & 16+45 \\\Leftrightarrow & \color{red}{110} x& = & 61 \\\Leftrightarrow & x = \frac{61}{110} & & \\ & V = \left\{ \frac{61}{110} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-05-11 18:52:40