Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-2(-2x-\frac{4}{9})=9x+\frac{9}{8}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-2} (-2x-\frac{4}{9})& = & 9x+\frac{9}{8} \\\Leftrightarrow & 4x+\frac{8}{9}& = & 9x+\frac{9}{8} \\ & & & \text{kgv van noemers 9 en 8 is 72} \\\Leftrightarrow & \color{blue}{72} .(\frac{288}{ \color{blue}{72} }x+ \frac{64}{ \color{blue}{72} })& = & (\frac{648}{ \color{blue}{72} }x+ \frac{81}{ \color{blue}{72} }). \color{blue}{72} \\\Leftrightarrow & 288x \color{red}{+64} & = & \color{red}{648x} +81 \\\Leftrightarrow & 288x \color{red}{+64} \color{blue}{-64} \color{blue}{-648x} & = & \color{red}{648x} +81 \color{blue}{-648x} \color{blue}{-64} \\\Leftrightarrow & 288x-648x& = & 81-64 \\\Leftrightarrow & \color{red}{-360} x& = & 17 \\\Leftrightarrow & x = \frac{17}{-360} & & \\\Leftrightarrow & x = \frac{-17}{360} & & \\ & V = \left\{ \frac{-17}{360} \right\} & \\\end{align}\)