Wiskunde

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-7} (3x+\frac{5}{3})& = & -8x+\frac{8}{5} \\\Leftrightarrow & -21x-\frac{35}{3}& = & -8x+\frac{8}{5} \\ & & & \text{kgv van noemers 3 en 5 is 15} \\\Leftrightarrow & \color{blue}{15} .(\frac{-315}{ \color{blue}{15} }x- \frac{175}{ \color{blue}{15} })& = & (\frac{-120}{ \color{blue}{15} }x+ \frac{24}{ \color{blue}{15} }). \color{blue}{15} \\\Leftrightarrow & -315x \color{red}{-175} & = & \color{red}{-120x} +24 \\\Leftrightarrow & -315x \color{red}{-175} \color{blue}{+175} \color{blue}{+120x} & = & \color{red}{-120x} +24 \color{blue}{+120x} \color{blue}{+175} \\\Leftrightarrow & -315x+120x& = & 24+175 \\\Leftrightarrow & \color{red}{-195} x& = & 199 \\\Leftrightarrow & x = \frac{199}{-195} & & \\\Leftrightarrow & x = \frac{-199}{195} & & \\ & V = \left\{ \frac{-199}{195} \right\} & \\\end{align}\)

Vgln. eerste graad (reeks 5)