Vgln. eerste graad (reeks 5)

Alles samen. Gebruik stappenplan en ZRM!

\(-7(4x+\frac{5}{6})=9x+\frac{7}{3}\)

\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\ \begin{align} & \color{red}{-7} (4x+\frac{5}{6})& = & 9x+\frac{7}{3} \\\Leftrightarrow & -28x-\frac{35}{6}& = & 9x+\frac{7}{3} \\ & & & \text{kgv van noemers 6 en 3 is 6} \\\Leftrightarrow & \color{blue}{6} .(\frac{-168}{ \color{blue}{6} }x- \frac{35}{ \color{blue}{6} })& = & (\frac{54}{ \color{blue}{6} }x+ \frac{14}{ \color{blue}{6} }). \color{blue}{6} \\\Leftrightarrow & -168x \color{red}{-35} & = & \color{red}{54x} +14 \\\Leftrightarrow & -168x \color{red}{-35} \color{blue}{+35} \color{blue}{-54x} & = & \color{red}{54x} +14 \color{blue}{-54x} \color{blue}{+35} \\\Leftrightarrow & -168x-54x& = & 14+35 \\\Leftrightarrow & \color{red}{-222} x& = & 49 \\\Leftrightarrow & x = \frac{49}{-222} & & \\\Leftrightarrow & x = \frac{-49}{222} & & \\ & V = \left\{ \frac{-49}{222} \right\} & \\\end{align}\)