Alles samen. Gebruik stappenplan en ZRM!
\(6(-5x+\frac{2}{13})=29x+\frac{5}{9}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{6} (-5x+\frac{2}{13})& = & 29x+\frac{5}{9} \\\Leftrightarrow & -30x+\frac{12}{13}& = & 29x+\frac{5}{9} \\ & & & \text{kgv van noemers 13 en 9 is 117} \\\Leftrightarrow & \color{blue}{117} .(-30x+\frac{12}{13})& = & (29x+\frac{5}{9}). \color{blue}{117} \\\Leftrightarrow & -3510x \color{red}{+108} & = & \color{red}{3393x} +65 \\\Leftrightarrow & -3510x \color{red}{+108} \color{blue}{-108} \color{blue}{-3393x} & = & \color{red}{3393x} +65 \color{blue}{-3393x} \color{blue}{-108} \\\Leftrightarrow & -3510x-3393x& = & 65-108 \\\Leftrightarrow & \color{red}{-6903} x& = & -43 \\\Leftrightarrow & x = \frac{-43}{-6903} & & \\\Leftrightarrow & x = \frac{43}{6903} & & \\ & V = \left\{ \frac{43}{6903} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-03-07 03:32:05