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