Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-5(4x+\frac{3}{4})=-7x+\frac{2}{7}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-5} (4x+\frac{3}{4})& = & -7x+\frac{2}{7} \\\Leftrightarrow & -20x-\frac{15}{4}& = & -7x+\frac{2}{7} \\ & & & \text{kgv van noemers 4 en 7 is 28} \\\Leftrightarrow & \color{blue}{28} .(\frac{-560}{ \color{blue}{28} }x- \frac{105}{ \color{blue}{28} })& = & (\frac{-196}{ \color{blue}{28} }x+ \frac{8}{ \color{blue}{28} }). \color{blue}{28} \\\Leftrightarrow & -560x \color{red}{-105} & = & \color{red}{-196x} +8 \\\Leftrightarrow & -560x \color{red}{-105} \color{blue}{+105} \color{blue}{+196x} & = & \color{red}{-196x} +8 \color{blue}{+196x} \color{blue}{+105} \\\Leftrightarrow & -560x+196x& = & 8+105 \\\Leftrightarrow & \color{red}{-364} x& = & 113 \\\Leftrightarrow & x = \frac{113}{-364} & & \\\Leftrightarrow & x = \frac{-113}{364} & & \\ & V = \left\{ \frac{-113}{364} \right\} & \\\end{align}\)