Bepaal de waarde van x.
- \(14x+14=-4\)
- \(-12x+10=-10\)
- \(-4x+4=8\)
- \(x+12=4\)
- \(6x-3=-8\)
- \(11x-12=-3\)
- \(-2x+15=-4\)
- \(6x+6=4\)
- \(10x+5=-7\)
- \(-12x+10=13\)
- \(-15x+8=10\)
- \(9x+15=-4\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 14x \color{red}{+14}& = &-4 \\\Leftrightarrow & 14x \color{red}{+14}\color{blue}{-14}
& = &-4\color{blue}{-14} \\\Leftrightarrow &14x
& = &-18\\\Leftrightarrow & \color{red}{14}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-18}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{7} } & & \\ & V = \left\{ \frac{-9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+10}& = &-10 \\\Leftrightarrow & -12x \color{red}{+10}\color{blue}{-10}
& = &-10\color{blue}{-10} \\\Leftrightarrow &-12x
& = &-20\\\Leftrightarrow & \color{red}{-12}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-20}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{3} } & & \\ & V = \left\{ \frac{5}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+4}& = &8 \\\Leftrightarrow & -4x \color{red}{+4}\color{blue}{-4}
& = &8\color{blue}{-4} \\\Leftrightarrow &-4x
& = &4\\\Leftrightarrow & \color{red}{-4}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{4}{-4} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+12}& = &4 \\\Leftrightarrow & x \color{red}{+12}\color{blue}{-12}
& = &4\color{blue}{-12} \\\Leftrightarrow &x
& = &-8\\\Leftrightarrow & \color{red}{}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -8 \\\Leftrightarrow & \color{green}{ x = -8 } & & \\ & V = \left\{ -8 \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-3}& = &-8 \\\Leftrightarrow & 6x \color{red}{-3}\color{blue}{+3}
& = &-8\color{blue}{+3} \\\Leftrightarrow &6x
& = &-5\\\Leftrightarrow & \color{red}{6}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-5}{6} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{6} } & & \\ & V = \left\{ \frac{-5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-12}& = &-3 \\\Leftrightarrow & 11x \color{red}{-12}\color{blue}{+12}
& = &-3\color{blue}{+12} \\\Leftrightarrow &11x
& = &9\\\Leftrightarrow & \color{red}{11}x
& = &9\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{9}{11} \\\Leftrightarrow & \color{green}{ x = \frac{9}{11} } & & \\ & V = \left\{ \frac{9}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+15}& = &-4 \\\Leftrightarrow & -2x \color{red}{+15}\color{blue}{-15}
& = &-4\color{blue}{-15} \\\Leftrightarrow &-2x
& = &-19\\\Leftrightarrow & \color{red}{-2}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-19}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{19}{2} } & & \\ & V = \left\{ \frac{19}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+6}& = &4 \\\Leftrightarrow & 6x \color{red}{+6}\color{blue}{-6}
& = &4\color{blue}{-6} \\\Leftrightarrow &6x
& = &-2\\\Leftrightarrow & \color{red}{6}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-2}{6} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{3} } & & \\ & V = \left\{ \frac{-1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+5}& = &-7 \\\Leftrightarrow & 10x \color{red}{+5}\color{blue}{-5}
& = &-7\color{blue}{-5} \\\Leftrightarrow &10x
& = &-12\\\Leftrightarrow & \color{red}{10}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-12}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{5} } & & \\ & V = \left\{ \frac{-6}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+10}& = &13 \\\Leftrightarrow & -12x \color{red}{+10}\color{blue}{-10}
& = &13\color{blue}{-10} \\\Leftrightarrow &-12x
& = &3\\\Leftrightarrow & \color{red}{-12}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{3}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{4} } & & \\ & V = \left\{ \frac{-1}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+8}& = &10 \\\Leftrightarrow & -15x \color{red}{+8}\color{blue}{-8}
& = &10\color{blue}{-8} \\\Leftrightarrow &-15x
& = &2\\\Leftrightarrow & \color{red}{-15}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{2}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{15} } & & \\ & V = \left\{ \frac{-2}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+15}& = &-4 \\\Leftrightarrow & 9x \color{red}{+15}\color{blue}{-15}
& = &-4\color{blue}{-15} \\\Leftrightarrow &9x
& = &-19\\\Leftrightarrow & \color{red}{9}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-19}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{9} } & & \\ & V = \left\{ \frac{-19}{9} \right\} & \\\end{align}\)