Alles samen. Gebruik stappenplan en ZRM!
\(-7(-4x+\frac{3}{2})=-9x+\frac{7}{2}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-7} (-4x+\frac{3}{2})& = & -9x+\frac{7}{2} \\\Leftrightarrow & 28x-\frac{21}{2}& = & -9x+\frac{7}{2} \\ & & & \text{kgv van noemers 2 en 2 is 2} \\\Leftrightarrow & \color{blue}{2} .(28x-\frac{21}{2})& = & (-9x+\frac{7}{2}). \color{blue}{2} \\\Leftrightarrow & 56x \color{red}{-21} & = & \color{red}{-18x} +7 \\\Leftrightarrow & 56x \color{red}{-21} \color{blue}{+21} \color{blue}{+18x} & = & \color{red}{-18x} +7 \color{blue}{+18x} \color{blue}{+21} \\\Leftrightarrow & 56x+18x& = & 7+21 \\\Leftrightarrow & \color{red}{74} x& = & 28 \\\Leftrightarrow & x = \frac{28}{74} & & \\\Leftrightarrow & x = \frac{14}{37} & & \\ & V = \left\{ \frac{14}{37} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2024-05-04 03:29:53