Bepaal de waarde van x.
- \(10x-11=8\)
- \(10x-11=-5\)
- \(6x-9=-4\)
- \(-6x-10=15\)
- \(x+13=4\)
- \(5x+15=-13\)
- \(14x-11=-1\)
- \(-7x+14=11\)
- \(-13x-1=7\)
- \(8x-14=9\)
- \(-15x+13=-6\)
- \(-14x+5=11\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 10x \color{red}{-11}& = &8 \\\Leftrightarrow & 10x \color{red}{-11}\color{blue}{+11}
& = &8\color{blue}{+11} \\\Leftrightarrow &10x
& = &19\\\Leftrightarrow & \color{red}{10}x
& = &19\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{19}{10} \\\Leftrightarrow & \color{green}{ x = \frac{19}{10} } & & \\ & V = \left\{ \frac{19}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-11}& = &-5 \\\Leftrightarrow & 10x \color{red}{-11}\color{blue}{+11}
& = &-5\color{blue}{+11} \\\Leftrightarrow &10x
& = &6\\\Leftrightarrow & \color{red}{10}x
& = &6\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{6}{10} \\\Leftrightarrow & \color{green}{ x = \frac{3}{5} } & & \\ & V = \left\{ \frac{3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-9}& = &-4 \\\Leftrightarrow & 6x \color{red}{-9}\color{blue}{+9}
& = &-4\color{blue}{+9} \\\Leftrightarrow &6x
& = &5\\\Leftrightarrow & \color{red}{6}x
& = &5\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{5}{6} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-10}& = &15 \\\Leftrightarrow & -6x \color{red}{-10}\color{blue}{+10}
& = &15\color{blue}{+10} \\\Leftrightarrow &-6x
& = &25\\\Leftrightarrow & \color{red}{-6}x
& = &25\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{25}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{6} } & & \\ & V = \left\{ \frac{-25}{6} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+13}& = &4 \\\Leftrightarrow & x \color{red}{+13}\color{blue}{-13}
& = &4\color{blue}{-13} \\\Leftrightarrow &x
& = &-9\\\Leftrightarrow & \color{red}{}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -9 \\\Leftrightarrow & \color{green}{ x = -9 } & & \\ & V = \left\{ -9 \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+15}& = &-13 \\\Leftrightarrow & 5x \color{red}{+15}\color{blue}{-15}
& = &-13\color{blue}{-15} \\\Leftrightarrow &5x
& = &-28\\\Leftrightarrow & \color{red}{5}x
& = &-28\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-28}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-28}{5} } & & \\ & V = \left\{ \frac{-28}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-11}& = &-1 \\\Leftrightarrow & 14x \color{red}{-11}\color{blue}{+11}
& = &-1\color{blue}{+11} \\\Leftrightarrow &14x
& = &10\\\Leftrightarrow & \color{red}{14}x
& = &10\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{10}{14} \\\Leftrightarrow & \color{green}{ x = \frac{5}{7} } & & \\ & V = \left\{ \frac{5}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+14}& = &11 \\\Leftrightarrow & -7x \color{red}{+14}\color{blue}{-14}
& = &11\color{blue}{-14} \\\Leftrightarrow &-7x
& = &-3\\\Leftrightarrow & \color{red}{-7}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-3}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{3}{7} } & & \\ & V = \left\{ \frac{3}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-1}& = &7 \\\Leftrightarrow & -13x \color{red}{-1}\color{blue}{+1}
& = &7\color{blue}{+1} \\\Leftrightarrow &-13x
& = &8\\\Leftrightarrow & \color{red}{-13}x
& = &8\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{8}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-8}{13} } & & \\ & V = \left\{ \frac{-8}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{-14}& = &9 \\\Leftrightarrow & 8x \color{red}{-14}\color{blue}{+14}
& = &9\color{blue}{+14} \\\Leftrightarrow &8x
& = &23\\\Leftrightarrow & \color{red}{8}x
& = &23\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{23}{8} \\\Leftrightarrow & \color{green}{ x = \frac{23}{8} } & & \\ & V = \left\{ \frac{23}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+13}& = &-6 \\\Leftrightarrow & -15x \color{red}{+13}\color{blue}{-13}
& = &-6\color{blue}{-13} \\\Leftrightarrow &-15x
& = &-19\\\Leftrightarrow & \color{red}{-15}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-19}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{19}{15} } & & \\ & V = \left\{ \frac{19}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+5}& = &11 \\\Leftrightarrow & -14x \color{red}{+5}\color{blue}{-5}
& = &11\color{blue}{-5} \\\Leftrightarrow &-14x
& = &6\\\Leftrightarrow & \color{red}{-14}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{6}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{7} } & & \\ & V = \left\{ \frac{-3}{7} \right\} & \\\end{align}\)