Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-7(-4x-\frac{5}{11})=-9x+\frac{3}{10}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-7} (-4x-\frac{5}{11})& = & -9x+\frac{3}{10} \\\Leftrightarrow & 28x+\frac{35}{11}& = & -9x+\frac{3}{10} \\ & & & \text{kgv van noemers 11 en 10 is 110} \\\Leftrightarrow & \color{blue}{110} .(\frac{3080}{ \color{blue}{110} }x+ \frac{350}{ \color{blue}{110} })& = & (\frac{-990}{ \color{blue}{110} }x+ \frac{33}{ \color{blue}{110} }). \color{blue}{110} \\\Leftrightarrow & 3080x \color{red}{+350} & = & \color{red}{-990x} +33 \\\Leftrightarrow & 3080x \color{red}{+350} \color{blue}{-350} \color{blue}{+990x} & = & \color{red}{-990x} +33 \color{blue}{+990x} \color{blue}{-350} \\\Leftrightarrow & 3080x+990x& = & 33-350 \\\Leftrightarrow & \color{red}{4070} x& = & -317 \\\Leftrightarrow & x = \frac{-317}{4070} & & \\ & V = \left\{ \frac{-317}{4070} \right\} & \\\end{align}\)