Alles samen. Gebruik stappenplan en ZRM!
\(-7(5x+\frac{5}{4})=6x+\frac{3}{10}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-7} (5x+\frac{5}{4})& = & 6x+\frac{3}{10} \\\Leftrightarrow & -35x-\frac{35}{4}& = & 6x+\frac{3}{10} \\ & & & \text{kgv van noemers 4 en 10 is 20} \\\Leftrightarrow & \color{blue}{20} .(-35x-\frac{35}{4})& = & (6x+\frac{3}{10}). \color{blue}{20} \\\Leftrightarrow & -700x \color{red}{-175} & = & \color{red}{120x} +6 \\\Leftrightarrow & -700x \color{red}{-175} \color{blue}{+175} \color{blue}{-120x} & = & \color{red}{120x} +6 \color{blue}{-120x} \color{blue}{+175} \\\Leftrightarrow & -700x-120x& = & 6+175 \\\Leftrightarrow & \color{red}{-820} x& = & 181 \\\Leftrightarrow & x = \frac{181}{-820} & & \\\Leftrightarrow & x = \frac{-181}{820} & & \\ & V = \left\{ \frac{-181}{820} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2024-04-23 23:52:57