Alles samen. Gebruik stappenplan en ZRM!
\(-5(3x-\frac{3}{8})=8x+\frac{9}{11}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-5} (3x-\frac{3}{8})& = & 8x+\frac{9}{11} \\\Leftrightarrow & -15x+\frac{15}{8}& = & 8x+\frac{9}{11} \\ & & & \text{kgv van noemers 8 en 11 is 88} \\\Leftrightarrow & \color{blue}{88} .(\frac{-1320}{ \color{blue}{88} }x+
\frac{165}{ \color{blue}{88} })& = & (\frac{704}{ \color{blue}{88} }x+
\frac{72}{ \color{blue}{88} }). \color{blue}{88} \\\Leftrightarrow & -1320x \color{red}{+165} & = & \color{red}{704x} +72 \\\Leftrightarrow & -1320x \color{red}{+165} \color{blue}{-165} \color{blue}{-704x} & = & \color{red}{704x} +72 \color{blue}{-704x} \color{blue}{-165} \\\Leftrightarrow & -1320x-704x& = & 72-165 \\\Leftrightarrow & \color{red}{-2024} x& = & -93 \\\Leftrightarrow & x = \frac{-93}{-2024} & & \\\Leftrightarrow & x = \frac{93}{2024} & & \\ & V = \left\{ \frac{93}{2024} \right\} & \\\end{align}\)
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wiskundeoefeningen.be 2025-09-18 08:37:31 Een site van Busleyden Atheneum Mechelen