Alles samen. Gebruik stappenplan en ZRM!
\(7(5x-\frac{3}{10})=8x+\frac{9}{8}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{7} (5x-\frac{3}{10})& = & 8x+\frac{9}{8} \\\Leftrightarrow & 35x-\frac{21}{10}& = & 8x+\frac{9}{8} \\ & & & \text{kgv van noemers 10 en 8 is 40} \\\Leftrightarrow & \color{blue}{40} .(35x-\frac{21}{10})& = & (8x+\frac{9}{8}). \color{blue}{40} \\\Leftrightarrow & 1400x \color{red}{-84} & = & \color{red}{320x} +45 \\\Leftrightarrow & 1400x \color{red}{-84} \color{blue}{+84} \color{blue}{-320x} & = & \color{red}{320x} +45 \color{blue}{-320x} \color{blue}{+84} \\\Leftrightarrow & 1400x-320x& = & 45+84 \\\Leftrightarrow & \color{red}{1080} x& = & 129 \\\Leftrightarrow & x = \frac{129}{1080} & & \\\Leftrightarrow & x = \frac{43}{360} & & \\ & V = \left\{ \frac{43}{360} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2025-05-09 20:21:58