Alles samen. Gebruik stappenplan en ZRM!
\(4(-4x+\frac{3}{8})=x+\frac{8}{9}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{4} (-4x+\frac{3}{8})& = & x+\frac{8}{9} \\\Leftrightarrow & -16x+\frac{3}{2}& = & x+\frac{8}{9} \\ & & & \text{kgv van noemers 2 en 9 is 18} \\\Leftrightarrow & \color{blue}{18} .(-16x+\frac{3}{2})& = & (x+\frac{8}{9}). \color{blue}{18} \\\Leftrightarrow & -288x \color{red}{+27} & = & \color{red}{18x} +16 \\\Leftrightarrow & -288x \color{red}{+27} \color{blue}{-27} \color{blue}{-18x} & = & \color{red}{18x} +16 \color{blue}{-18x} \color{blue}{-27} \\\Leftrightarrow & -288x-18x& = & 16-27 \\\Leftrightarrow & \color{red}{-306} x& = & -11 \\\Leftrightarrow & x = \frac{-11}{-306} & & \\\Leftrightarrow & x = \frac{11}{306} & & \\ & V = \left\{ \frac{11}{306} \right\} & \\\end{align}\)
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vanhoeckes.be/wiskunde 2023-09-26 23:49:23