Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(2(-5x-\frac{2}{3})=7x+\frac{2}{11}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{2} (-5x-\frac{2}{3})& = & 7x+\frac{2}{11} \\\Leftrightarrow & -10x-\frac{4}{3}& = & 7x+\frac{2}{11} \\ & & & \text{kgv van noemers 3 en 11 is 33} \\\Leftrightarrow & \color{blue}{33} .(\frac{-330}{ \color{blue}{33} }x- \frac{44}{ \color{blue}{33} })& = & (\frac{231}{ \color{blue}{33} }x+ \frac{6}{ \color{blue}{33} }). \color{blue}{33} \\\Leftrightarrow & -330x \color{red}{-44} & = & \color{red}{231x} +6 \\\Leftrightarrow & -330x \color{red}{-44} \color{blue}{+44} \color{blue}{-231x} & = & \color{red}{231x} +6 \color{blue}{-231x} \color{blue}{+44} \\\Leftrightarrow & -330x-231x& = & 6+44 \\\Leftrightarrow & \color{red}{-561} x& = & 50 \\\Leftrightarrow & x = \frac{50}{-561} & & \\\Leftrightarrow & x = \frac{-50}{561} & & \\ & V = \left\{ \frac{-50}{561} \right\} & \\\end{align}\)