Wiskunde

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{4} (-4x-\frac{4}{5})& = & 7x+\frac{9}{7} \\\Leftrightarrow & -16x-\frac{16}{5}& = & 7x+\frac{9}{7} \\ & & & \text{kgv van noemers 5 en 7 is 35} \\\Leftrightarrow & \color{blue}{35} .(\frac{-560}{ \color{blue}{35} }x- \frac{112}{ \color{blue}{35} })& = & (\frac{245}{ \color{blue}{35} }x+ \frac{45}{ \color{blue}{35} }). \color{blue}{35} \\\Leftrightarrow & -560x \color{red}{-112} & = & \color{red}{245x} +45 \\\Leftrightarrow & -560x \color{red}{-112} \color{blue}{+112} \color{blue}{-245x} & = & \color{red}{245x} +45 \color{blue}{-245x} \color{blue}{+112} \\\Leftrightarrow & -560x-245x& = & 45+112 \\\Leftrightarrow & \color{red}{-805} x& = & 157 \\\Leftrightarrow & x = \frac{157}{-805} & & \\\Leftrightarrow & x = \frac{-157}{805} & & \\ & V = \left\{ \frac{-157}{805} \right\} & \\\end{align}\)

Vgln. eerste graad (reeks 5)