Bepaal de waarde van x.
- \(13x+14=-8\)
- \(-4x-6=-1\)
- \(6x+3=12\)
- \(10x-3=-1\)
- \(10x+11=2\)
- \(8x+14=-13\)
- \(-2x+6=-1\)
- \(-13x-1=-6\)
- \(6x-10=11\)
- \(4x+13=-2\)
- \(-x+11=14\)
- \(6x-5=-4\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 13x \color{red}{+14}& = &-8 \\\Leftrightarrow & 13x \color{red}{+14}\color{blue}{-14}
& = &-8\color{blue}{-14} \\\Leftrightarrow &13x
& = &-22\\\Leftrightarrow & \color{red}{13}x
& = &-22\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-22}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-22}{13} } & & \\ & V = \left\{ \frac{-22}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-6}& = &-1 \\\Leftrightarrow & -4x \color{red}{-6}\color{blue}{+6}
& = &-1\color{blue}{+6} \\\Leftrightarrow &-4x
& = &5\\\Leftrightarrow & \color{red}{-4}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{5}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{4} } & & \\ & V = \left\{ \frac{-5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+3}& = &12 \\\Leftrightarrow & 6x \color{red}{+3}\color{blue}{-3}
& = &12\color{blue}{-3} \\\Leftrightarrow &6x
& = &9\\\Leftrightarrow & \color{red}{6}x
& = &9\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{9}{6} \\\Leftrightarrow & \color{green}{ x = \frac{3}{2} } & & \\ & V = \left\{ \frac{3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-3}& = &-1 \\\Leftrightarrow & 10x \color{red}{-3}\color{blue}{+3}
& = &-1\color{blue}{+3} \\\Leftrightarrow &10x
& = &2\\\Leftrightarrow & \color{red}{10}x
& = &2\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{2}{10} \\\Leftrightarrow & \color{green}{ x = \frac{1}{5} } & & \\ & V = \left\{ \frac{1}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+11}& = &2 \\\Leftrightarrow & 10x \color{red}{+11}\color{blue}{-11}
& = &2\color{blue}{-11} \\\Leftrightarrow &10x
& = &-9\\\Leftrightarrow & \color{red}{10}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-9}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{10} } & & \\ & V = \left\{ \frac{-9}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+14}& = &-13 \\\Leftrightarrow & 8x \color{red}{+14}\color{blue}{-14}
& = &-13\color{blue}{-14} \\\Leftrightarrow &8x
& = &-27\\\Leftrightarrow & \color{red}{8}x
& = &-27\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-27}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-27}{8} } & & \\ & V = \left\{ \frac{-27}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+6}& = &-1 \\\Leftrightarrow & -2x \color{red}{+6}\color{blue}{-6}
& = &-1\color{blue}{-6} \\\Leftrightarrow &-2x
& = &-7\\\Leftrightarrow & \color{red}{-2}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-7}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{7}{2} } & & \\ & V = \left\{ \frac{7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-1}& = &-6 \\\Leftrightarrow & -13x \color{red}{-1}\color{blue}{+1}
& = &-6\color{blue}{+1} \\\Leftrightarrow &-13x
& = &-5\\\Leftrightarrow & \color{red}{-13}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-5}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{5}{13} } & & \\ & V = \left\{ \frac{5}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-10}& = &11 \\\Leftrightarrow & 6x \color{red}{-10}\color{blue}{+10}
& = &11\color{blue}{+10} \\\Leftrightarrow &6x
& = &21\\\Leftrightarrow & \color{red}{6}x
& = &21\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{21}{6} \\\Leftrightarrow & \color{green}{ x = \frac{7}{2} } & & \\ & V = \left\{ \frac{7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+13}& = &-2 \\\Leftrightarrow & 4x \color{red}{+13}\color{blue}{-13}
& = &-2\color{blue}{-13} \\\Leftrightarrow &4x
& = &-15\\\Leftrightarrow & \color{red}{4}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-15}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-15}{4} } & & \\ & V = \left\{ \frac{-15}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+11}& = &14 \\\Leftrightarrow & -x \color{red}{+11}\color{blue}{-11}
& = &14\color{blue}{-11} \\\Leftrightarrow &-x
& = &3\\\Leftrightarrow & \color{red}{-}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{3}{-1} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-5}& = &-4 \\\Leftrightarrow & 6x \color{red}{-5}\color{blue}{+5}
& = &-4\color{blue}{+5} \\\Leftrightarrow &6x
& = &1\\\Leftrightarrow & \color{red}{6}x
& = &1\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{1}{6} \\\Leftrightarrow & \color{green}{ x = \frac{1}{6} } & & \\ & V = \left\{ \frac{1}{6} \right\} & \\\end{align}\)