Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-7(2x+1)=-5x+\frac{4}{11}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-7} (2x+1)& = & -5x+\frac{4}{11} \\\Leftrightarrow & -14x-7& = & -5x+\frac{4}{11} \\ & & & \text{kgv van noemers 1 en 11 is 11} \\\Leftrightarrow & \color{blue}{11} .(\frac{-154}{ \color{blue}{11} }x- \frac{77}{ \color{blue}{11} })& = & (\frac{-55}{ \color{blue}{11} }x+ \frac{4}{ \color{blue}{11} }). \color{blue}{11} \\\Leftrightarrow & -154x \color{red}{-77} & = & \color{red}{-55x} +4 \\\Leftrightarrow & -154x \color{red}{-77} \color{blue}{+77} \color{blue}{+55x} & = & \color{red}{-55x} +4 \color{blue}{+55x} \color{blue}{+77} \\\Leftrightarrow & -154x+55x& = & 4+77 \\\Leftrightarrow & \color{red}{-99} x& = & 81 \\\Leftrightarrow & x = \frac{81}{-99} & & \\\Leftrightarrow & x = \frac{-9}{11} & & \\ & V = \left\{ \frac{-9}{11} \right\} & \\\end{align}\)