Bepaal de waarde van x.
- \(12x-13=-8\)
- \(-14x+10=-8\)
- \(-9x+3=-11\)
- \(-5x+6=-5\)
- \(-12x+5=-8\)
- \(-5x-4=-4\)
- \(12x-12=2\)
- \(10x-3=5\)
- \(6x-3=-9\)
- \(-15x+13=-6\)
- \(15x-7=-7\)
- \(-9x-15=3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 12x \color{red}{-13}& = &-8 \\\Leftrightarrow & 12x \color{red}{-13}\color{blue}{+13}
& = &-8\color{blue}{+13} \\\Leftrightarrow &12x
& = &5\\\Leftrightarrow & \color{red}{12}x
& = &5\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{5}{12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{12} } & & \\ & V = \left\{ \frac{5}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+10}& = &-8 \\\Leftrightarrow & -14x \color{red}{+10}\color{blue}{-10}
& = &-8\color{blue}{-10} \\\Leftrightarrow &-14x
& = &-18\\\Leftrightarrow & \color{red}{-14}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-18}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{9}{7} } & & \\ & V = \left\{ \frac{9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+3}& = &-11 \\\Leftrightarrow & -9x \color{red}{+3}\color{blue}{-3}
& = &-11\color{blue}{-3} \\\Leftrightarrow &-9x
& = &-14\\\Leftrightarrow & \color{red}{-9}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{-14}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{14}{9} } & & \\ & V = \left\{ \frac{14}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+6}& = &-5 \\\Leftrightarrow & -5x \color{red}{+6}\color{blue}{-6}
& = &-5\color{blue}{-6} \\\Leftrightarrow &-5x
& = &-11\\\Leftrightarrow & \color{red}{-5}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-11}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{11}{5} } & & \\ & V = \left\{ \frac{11}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+5}& = &-8 \\\Leftrightarrow & -12x \color{red}{+5}\color{blue}{-5}
& = &-8\color{blue}{-5} \\\Leftrightarrow &-12x
& = &-13\\\Leftrightarrow & \color{red}{-12}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-13}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{13}{12} } & & \\ & V = \left\{ \frac{13}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-4}& = &-4 \\\Leftrightarrow & -5x \color{red}{-4}\color{blue}{+4}
& = &-4\color{blue}{+4} \\\Leftrightarrow &-5x
& = &0\\\Leftrightarrow & \color{red}{-5}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{0}{-5} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-12}& = &2 \\\Leftrightarrow & 12x \color{red}{-12}\color{blue}{+12}
& = &2\color{blue}{+12} \\\Leftrightarrow &12x
& = &14\\\Leftrightarrow & \color{red}{12}x
& = &14\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{14}{12} \\\Leftrightarrow & \color{green}{ x = \frac{7}{6} } & & \\ & V = \left\{ \frac{7}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-3}& = &5 \\\Leftrightarrow & 10x \color{red}{-3}\color{blue}{+3}
& = &5\color{blue}{+3} \\\Leftrightarrow &10x
& = &8\\\Leftrightarrow & \color{red}{10}x
& = &8\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{8}{10} \\\Leftrightarrow & \color{green}{ x = \frac{4}{5} } & & \\ & V = \left\{ \frac{4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-3}& = &-9 \\\Leftrightarrow & 6x \color{red}{-3}\color{blue}{+3}
& = &-9\color{blue}{+3} \\\Leftrightarrow &6x
& = &-6\\\Leftrightarrow & \color{red}{6}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-6}{6} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+13}& = &-6 \\\Leftrightarrow & -15x \color{red}{+13}\color{blue}{-13}
& = &-6\color{blue}{-13} \\\Leftrightarrow &-15x
& = &-19\\\Leftrightarrow & \color{red}{-15}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-19}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{19}{15} } & & \\ & V = \left\{ \frac{19}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-7}& = &-7 \\\Leftrightarrow & 15x \color{red}{-7}\color{blue}{+7}
& = &-7\color{blue}{+7} \\\Leftrightarrow &15x
& = &0\\\Leftrightarrow & \color{red}{15}x
& = &0\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{0}{15} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-15}& = &3 \\\Leftrightarrow & -9x \color{red}{-15}\color{blue}{+15}
& = &3\color{blue}{+15} \\\Leftrightarrow &-9x
& = &18\\\Leftrightarrow & \color{red}{-9}x
& = &18\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{18}{-9} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)