Alles samen. Gebruik stappenplan en ZRM!
\(-3(2x+\frac{5}{2})=x+\frac{2}{5}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-3} (2x+\frac{5}{2})& = & x+\frac{2}{5} \\\Leftrightarrow & -6x-\frac{15}{2}& = & x+\frac{2}{5} \\ & & & \text{kgv van noemers 2 en 5 is 10} \\\Leftrightarrow & \color{blue}{10} .(-6x-\frac{15}{2})& = & (x+\frac{2}{5}). \color{blue}{10} \\\Leftrightarrow & -60x \color{red}{-75} & = & \color{red}{10x} +4 \\\Leftrightarrow & -60x \color{red}{-75} \color{blue}{+75} \color{blue}{-10x} & = & \color{red}{10x} +4 \color{blue}{-10x} \color{blue}{+75} \\\Leftrightarrow & -60x-10x& = & 4+75 \\\Leftrightarrow & \color{red}{-70} x& = & 79 \\\Leftrightarrow & x = \frac{79}{-70} & & \\\Leftrightarrow & x = \frac{-79}{70} & & \\ & V = \left\{ \frac{-79}{70} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2024-05-17 04:28:04