Wiskunde

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-5} (-5x+\frac{3}{8})& = & -6x+\frac{6}{5} \\\Leftrightarrow & 25x-\frac{15}{8}& = & -6x+\frac{6}{5} \\ & & & \text{kgv van noemers 8 en 5 is 40} \\\Leftrightarrow & \color{blue}{40} .(\frac{1000}{ \color{blue}{40} }x- \frac{75}{ \color{blue}{40} })& = & (\frac{-240}{ \color{blue}{40} }x+ \frac{48}{ \color{blue}{40} }). \color{blue}{40} \\\Leftrightarrow & 1000x \color{red}{-75} & = & \color{red}{-240x} +48 \\\Leftrightarrow & 1000x \color{red}{-75} \color{blue}{+75} \color{blue}{+240x} & = & \color{red}{-240x} +48 \color{blue}{+240x} \color{blue}{+75} \\\Leftrightarrow & 1000x+240x& = & 48+75 \\\Leftrightarrow & \color{red}{1240} x& = & 123 \\\Leftrightarrow & x = \frac{123}{1240} & & \\ & V = \left\{ \frac{123}{1240} \right\} & \\\end{align}\)

Vgln. eerste graad (reeks 5)