Alles samen. Gebruik stappenplan en ZRM!
\(-6(x+\frac{2}{13})=5x+\frac{3}{2}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-6} (x+\frac{2}{13})& = & 5x+\frac{3}{2} \\\Leftrightarrow & -6x-\frac{12}{13}& = & 5x+\frac{3}{2} \\ & & & \text{kgv van noemers 13 en 2 is 26} \\\Leftrightarrow & \color{blue}{26} .(-6x-\frac{12}{13})& = & (5x+\frac{3}{2}). \color{blue}{26} \\\Leftrightarrow & -156x \color{red}{-24} & = & \color{red}{130x} +39 \\\Leftrightarrow & -156x \color{red}{-24} \color{blue}{+24} \color{blue}{-130x} & = & \color{red}{130x} +39 \color{blue}{-130x} \color{blue}{+24} \\\Leftrightarrow & -156x-130x& = & 39+24 \\\Leftrightarrow & \color{red}{-286} x& = & 63 \\\Leftrightarrow & x = \frac{63}{-286} & & \\\Leftrightarrow & x = \frac{-63}{286} & & \\ & V = \left\{ \frac{-63}{286} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-04-04 04:35:05