Bepaal de waarde van x.
- \(-6x-10=9\)
- \(-11x+13=15\)
- \(-12x-10=13\)
- \(6x-14=9\)
- \(-8x-10=5\)
- \(-9x-12=-1\)
- \(5x-8=-5\)
- \(5x-10=-9\)
- \(-2x+8=-8\)
- \(-11x-1=7\)
- \(-15x-6=-9\)
- \(-10x-6=-14\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -6x \color{red}{-10}& = &9 \\\Leftrightarrow & -6x \color{red}{-10}\color{blue}{+10}
& = &9\color{blue}{+10} \\\Leftrightarrow &-6x
& = &19\\\Leftrightarrow & \color{red}{-6}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{19}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{6} } & & \\ & V = \left\{ \frac{-19}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+13}& = &15 \\\Leftrightarrow & -11x \color{red}{+13}\color{blue}{-13}
& = &15\color{blue}{-13} \\\Leftrightarrow &-11x
& = &2\\\Leftrightarrow & \color{red}{-11}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{2}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{11} } & & \\ & V = \left\{ \frac{-2}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-10}& = &13 \\\Leftrightarrow & -12x \color{red}{-10}\color{blue}{+10}
& = &13\color{blue}{+10} \\\Leftrightarrow &-12x
& = &23\\\Leftrightarrow & \color{red}{-12}x
& = &23\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{23}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{12} } & & \\ & V = \left\{ \frac{-23}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-14}& = &9 \\\Leftrightarrow & 6x \color{red}{-14}\color{blue}{+14}
& = &9\color{blue}{+14} \\\Leftrightarrow &6x
& = &23\\\Leftrightarrow & \color{red}{6}x
& = &23\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{23}{6} \\\Leftrightarrow & \color{green}{ x = \frac{23}{6} } & & \\ & V = \left\{ \frac{23}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{-10}& = &5 \\\Leftrightarrow & -8x \color{red}{-10}\color{blue}{+10}
& = &5\color{blue}{+10} \\\Leftrightarrow &-8x
& = &15\\\Leftrightarrow & \color{red}{-8}x
& = &15\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{15}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{-15}{8} } & & \\ & V = \left\{ \frac{-15}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-12}& = &-1 \\\Leftrightarrow & -9x \color{red}{-12}\color{blue}{+12}
& = &-1\color{blue}{+12} \\\Leftrightarrow &-9x
& = &11\\\Leftrightarrow & \color{red}{-9}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{11}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{9} } & & \\ & V = \left\{ \frac{-11}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-8}& = &-5 \\\Leftrightarrow & 5x \color{red}{-8}\color{blue}{+8}
& = &-5\color{blue}{+8} \\\Leftrightarrow &5x
& = &3\\\Leftrightarrow & \color{red}{5}x
& = &3\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{3}{5} \\\Leftrightarrow & \color{green}{ x = \frac{3}{5} } & & \\ & V = \left\{ \frac{3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-10}& = &-9 \\\Leftrightarrow & 5x \color{red}{-10}\color{blue}{+10}
& = &-9\color{blue}{+10} \\\Leftrightarrow &5x
& = &1\\\Leftrightarrow & \color{red}{5}x
& = &1\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{1}{5} \\\Leftrightarrow & \color{green}{ x = \frac{1}{5} } & & \\ & V = \left\{ \frac{1}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+8}& = &-8 \\\Leftrightarrow & -2x \color{red}{+8}\color{blue}{-8}
& = &-8\color{blue}{-8} \\\Leftrightarrow &-2x
& = &-16\\\Leftrightarrow & \color{red}{-2}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-16}{-2} \\\Leftrightarrow & \color{green}{ x = 8 } & & \\ & V = \left\{ 8 \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{-1}& = &7 \\\Leftrightarrow & -11x \color{red}{-1}\color{blue}{+1}
& = &7\color{blue}{+1} \\\Leftrightarrow &-11x
& = &8\\\Leftrightarrow & \color{red}{-11}x
& = &8\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{8}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-8}{11} } & & \\ & V = \left\{ \frac{-8}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-6}& = &-9 \\\Leftrightarrow & -15x \color{red}{-6}\color{blue}{+6}
& = &-9\color{blue}{+6} \\\Leftrightarrow &-15x
& = &-3\\\Leftrightarrow & \color{red}{-15}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-3}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{1}{5} } & & \\ & V = \left\{ \frac{1}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-6}& = &-14 \\\Leftrightarrow & -10x \color{red}{-6}\color{blue}{+6}
& = &-14\color{blue}{+6} \\\Leftrightarrow &-10x
& = &-8\\\Leftrightarrow & \color{red}{-10}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-8}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{4}{5} } & & \\ & V = \left\{ \frac{4}{5} \right\} & \\\end{align}\)