Bepaal de waarde van x.
- \(-14x+14=15\)
- \(6x-1=3\)
- \(-3x-6=-13\)
- \(8x+3=9\)
- \(14x-13=6\)
- \(15x+2=8\)
- \(9x-4=-6\)
- \(13x+14=-14\)
- \(9x-15=-11\)
- \(-7x-11=14\)
- \(12x+12=-5\)
- \(3x-12=-1\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -14x \color{red}{+14}& = &15 \\\Leftrightarrow & -14x \color{red}{+14}\color{blue}{-14}
& = &15\color{blue}{-14} \\\Leftrightarrow &-14x
& = &1\\\Leftrightarrow & \color{red}{-14}x
& = &1\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{1}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{14} } & & \\ & V = \left\{ \frac{-1}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-1}& = &3 \\\Leftrightarrow & 6x \color{red}{-1}\color{blue}{+1}
& = &3\color{blue}{+1} \\\Leftrightarrow &6x
& = &4\\\Leftrightarrow & \color{red}{6}x
& = &4\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{4}{6} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-6}& = &-13 \\\Leftrightarrow & -3x \color{red}{-6}\color{blue}{+6}
& = &-13\color{blue}{+6} \\\Leftrightarrow &-3x
& = &-7\\\Leftrightarrow & \color{red}{-3}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-7}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{7}{3} } & & \\ & V = \left\{ \frac{7}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+3}& = &9 \\\Leftrightarrow & 8x \color{red}{+3}\color{blue}{-3}
& = &9\color{blue}{-3} \\\Leftrightarrow &8x
& = &6\\\Leftrightarrow & \color{red}{8}x
& = &6\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{6}{8} \\\Leftrightarrow & \color{green}{ x = \frac{3}{4} } & & \\ & V = \left\{ \frac{3}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-13}& = &6 \\\Leftrightarrow & 14x \color{red}{-13}\color{blue}{+13}
& = &6\color{blue}{+13} \\\Leftrightarrow &14x
& = &19\\\Leftrightarrow & \color{red}{14}x
& = &19\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{19}{14} \\\Leftrightarrow & \color{green}{ x = \frac{19}{14} } & & \\ & V = \left\{ \frac{19}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+2}& = &8 \\\Leftrightarrow & 15x \color{red}{+2}\color{blue}{-2}
& = &8\color{blue}{-2} \\\Leftrightarrow &15x
& = &6\\\Leftrightarrow & \color{red}{15}x
& = &6\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{6}{15} \\\Leftrightarrow & \color{green}{ x = \frac{2}{5} } & & \\ & V = \left\{ \frac{2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-4}& = &-6 \\\Leftrightarrow & 9x \color{red}{-4}\color{blue}{+4}
& = &-6\color{blue}{+4} \\\Leftrightarrow &9x
& = &-2\\\Leftrightarrow & \color{red}{9}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-2}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{9} } & & \\ & V = \left\{ \frac{-2}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+14}& = &-14 \\\Leftrightarrow & 13x \color{red}{+14}\color{blue}{-14}
& = &-14\color{blue}{-14} \\\Leftrightarrow &13x
& = &-28\\\Leftrightarrow & \color{red}{13}x
& = &-28\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-28}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-28}{13} } & & \\ & V = \left\{ \frac{-28}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-15}& = &-11 \\\Leftrightarrow & 9x \color{red}{-15}\color{blue}{+15}
& = &-11\color{blue}{+15} \\\Leftrightarrow &9x
& = &4\\\Leftrightarrow & \color{red}{9}x
& = &4\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{4}{9} \\\Leftrightarrow & \color{green}{ x = \frac{4}{9} } & & \\ & V = \left\{ \frac{4}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-11}& = &14 \\\Leftrightarrow & -7x \color{red}{-11}\color{blue}{+11}
& = &14\color{blue}{+11} \\\Leftrightarrow &-7x
& = &25\\\Leftrightarrow & \color{red}{-7}x
& = &25\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{25}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{7} } & & \\ & V = \left\{ \frac{-25}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+12}& = &-5 \\\Leftrightarrow & 12x \color{red}{+12}\color{blue}{-12}
& = &-5\color{blue}{-12} \\\Leftrightarrow &12x
& = &-17\\\Leftrightarrow & \color{red}{12}x
& = &-17\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-17}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-17}{12} } & & \\ & V = \left\{ \frac{-17}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-12}& = &-1 \\\Leftrightarrow & 3x \color{red}{-12}\color{blue}{+12}
& = &-1\color{blue}{+12} \\\Leftrightarrow &3x
& = &11\\\Leftrightarrow & \color{red}{3}x
& = &11\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{11}{3} \\\Leftrightarrow & \color{green}{ x = \frac{11}{3} } & & \\ & V = \left\{ \frac{11}{3} \right\} & \\\end{align}\)