Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-2(2x+\frac{4}{11})=5x+\frac{2}{5}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-2} (2x+\frac{4}{11})& = & 5x+\frac{2}{5} \\\Leftrightarrow & -4x-\frac{8}{11}& = & 5x+\frac{2}{5} \\ & & & \text{kgv van noemers 11 en 5 is 55} \\\Leftrightarrow & \color{blue}{55} .(\frac{-220}{ \color{blue}{55} }x- \frac{40}{ \color{blue}{55} })& = & (\frac{275}{ \color{blue}{55} }x+ \frac{22}{ \color{blue}{55} }). \color{blue}{55} \\\Leftrightarrow & -220x \color{red}{-40} & = & \color{red}{275x} +22 \\\Leftrightarrow & -220x \color{red}{-40} \color{blue}{+40} \color{blue}{-275x} & = & \color{red}{275x} +22 \color{blue}{-275x} \color{blue}{+40} \\\Leftrightarrow & -220x-275x& = & 22+40 \\\Leftrightarrow & \color{red}{-495} x& = & 62 \\\Leftrightarrow & x = \frac{62}{-495} & & \\\Leftrightarrow & x = \frac{-62}{495} & & \\ & V = \left\{ \frac{-62}{495} \right\} & \\\end{align}\)