Bepaal de waarde van x.
- \(-5x-9=9\)
- \(-9x-11=5\)
- \(-3x-12=8\)
- \(-2x-3=6\)
- \(x+9=-11\)
- \(8x+6=7\)
- \(-10x+11=6\)
- \(-6x+2=4\)
- \(13x+10=-8\)
- \(-3x+10=-11\)
- \(-9x+1=12\)
- \(-6x-2=-8\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -5x \color{red}{-9}& = &9 \\\Leftrightarrow & -5x \color{red}{-9}\color{blue}{+9}
& = &9\color{blue}{+9} \\\Leftrightarrow &-5x
& = &18\\\Leftrightarrow & \color{red}{-5}x
& = &18\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{18}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-18}{5} } & & \\ & V = \left\{ \frac{-18}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-11}& = &5 \\\Leftrightarrow & -9x \color{red}{-11}\color{blue}{+11}
& = &5\color{blue}{+11} \\\Leftrightarrow &-9x
& = &16\\\Leftrightarrow & \color{red}{-9}x
& = &16\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{16}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{9} } & & \\ & V = \left\{ \frac{-16}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-12}& = &8 \\\Leftrightarrow & -3x \color{red}{-12}\color{blue}{+12}
& = &8\color{blue}{+12} \\\Leftrightarrow &-3x
& = &20\\\Leftrightarrow & \color{red}{-3}x
& = &20\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{20}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{-20}{3} } & & \\ & V = \left\{ \frac{-20}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-3}& = &6 \\\Leftrightarrow & -2x \color{red}{-3}\color{blue}{+3}
& = &6\color{blue}{+3} \\\Leftrightarrow &-2x
& = &9\\\Leftrightarrow & \color{red}{-2}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{9}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{2} } & & \\ & V = \left\{ \frac{-9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+9}& = &-11 \\\Leftrightarrow & x \color{red}{+9}\color{blue}{-9}
& = &-11\color{blue}{-9} \\\Leftrightarrow &x
& = &-20\\\Leftrightarrow & \color{red}{}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -20 \\\Leftrightarrow & \color{green}{ x = -20 } & & \\ & V = \left\{ -20 \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+6}& = &7 \\\Leftrightarrow & 8x \color{red}{+6}\color{blue}{-6}
& = &7\color{blue}{-6} \\\Leftrightarrow &8x
& = &1\\\Leftrightarrow & \color{red}{8}x
& = &1\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{1}{8} \\\Leftrightarrow & \color{green}{ x = \frac{1}{8} } & & \\ & V = \left\{ \frac{1}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+11}& = &6 \\\Leftrightarrow & -10x \color{red}{+11}\color{blue}{-11}
& = &6\color{blue}{-11} \\\Leftrightarrow &-10x
& = &-5\\\Leftrightarrow & \color{red}{-10}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-5}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+2}& = &4 \\\Leftrightarrow & -6x \color{red}{+2}\color{blue}{-2}
& = &4\color{blue}{-2} \\\Leftrightarrow &-6x
& = &2\\\Leftrightarrow & \color{red}{-6}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{2}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{3} } & & \\ & V = \left\{ \frac{-1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+10}& = &-8 \\\Leftrightarrow & 13x \color{red}{+10}\color{blue}{-10}
& = &-8\color{blue}{-10} \\\Leftrightarrow &13x
& = &-18\\\Leftrightarrow & \color{red}{13}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-18}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-18}{13} } & & \\ & V = \left\{ \frac{-18}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+10}& = &-11 \\\Leftrightarrow & -3x \color{red}{+10}\color{blue}{-10}
& = &-11\color{blue}{-10} \\\Leftrightarrow &-3x
& = &-21\\\Leftrightarrow & \color{red}{-3}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-21}{-3} \\\Leftrightarrow & \color{green}{ x = 7 } & & \\ & V = \left\{ 7 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+1}& = &12 \\\Leftrightarrow & -9x \color{red}{+1}\color{blue}{-1}
& = &12\color{blue}{-1} \\\Leftrightarrow &-9x
& = &11\\\Leftrightarrow & \color{red}{-9}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{11}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{9} } & & \\ & V = \left\{ \frac{-11}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-2}& = &-8 \\\Leftrightarrow & -6x \color{red}{-2}\color{blue}{+2}
& = &-8\color{blue}{+2} \\\Leftrightarrow &-6x
& = &-6\\\Leftrightarrow & \color{red}{-6}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-6}{-6} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)