Bepaal de waarde van x.
- \(10x+5=-8\)
- \(-12x-13=6\)
- \(14x+8=-13\)
- \(5x+7=-2\)
- \(7x-10=10\)
- \(-6x+10=-11\)
- \(x+1=-4\)
- \(15x-15=-13\)
- \(8x+13=6\)
- \(9x+3=9\)
- \(14x-6=-8\)
- \(7x-14=-3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 10x \color{red}{+5}& = &-8 \\\Leftrightarrow & 10x \color{red}{+5}\color{blue}{-5}
& = &-8\color{blue}{-5} \\\Leftrightarrow &10x
& = &-13\\\Leftrightarrow & \color{red}{10}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-13}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{10} } & & \\ & V = \left\{ \frac{-13}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-13}& = &6 \\\Leftrightarrow & -12x \color{red}{-13}\color{blue}{+13}
& = &6\color{blue}{+13} \\\Leftrightarrow &-12x
& = &19\\\Leftrightarrow & \color{red}{-12}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{19}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{12} } & & \\ & V = \left\{ \frac{-19}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+8}& = &-13 \\\Leftrightarrow & 14x \color{red}{+8}\color{blue}{-8}
& = &-13\color{blue}{-8} \\\Leftrightarrow &14x
& = &-21\\\Leftrightarrow & \color{red}{14}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-21}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+7}& = &-2 \\\Leftrightarrow & 5x \color{red}{+7}\color{blue}{-7}
& = &-2\color{blue}{-7} \\\Leftrightarrow &5x
& = &-9\\\Leftrightarrow & \color{red}{5}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-9}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{5} } & & \\ & V = \left\{ \frac{-9}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-10}& = &10 \\\Leftrightarrow & 7x \color{red}{-10}\color{blue}{+10}
& = &10\color{blue}{+10} \\\Leftrightarrow &7x
& = &20\\\Leftrightarrow & \color{red}{7}x
& = &20\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{20}{7} \\\Leftrightarrow & \color{green}{ x = \frac{20}{7} } & & \\ & V = \left\{ \frac{20}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+10}& = &-11 \\\Leftrightarrow & -6x \color{red}{+10}\color{blue}{-10}
& = &-11\color{blue}{-10} \\\Leftrightarrow &-6x
& = &-21\\\Leftrightarrow & \color{red}{-6}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-21}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{7}{2} } & & \\ & V = \left\{ \frac{7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+1}& = &-4 \\\Leftrightarrow & x \color{red}{+1}\color{blue}{-1}
& = &-4\color{blue}{-1} \\\Leftrightarrow &x
& = &-5\\\Leftrightarrow & \color{red}{}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -5 \\\Leftrightarrow & \color{green}{ x = -5 } & & \\ & V = \left\{ -5 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-15}& = &-13 \\\Leftrightarrow & 15x \color{red}{-15}\color{blue}{+15}
& = &-13\color{blue}{+15} \\\Leftrightarrow &15x
& = &2\\\Leftrightarrow & \color{red}{15}x
& = &2\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{2}{15} \\\Leftrightarrow & \color{green}{ x = \frac{2}{15} } & & \\ & V = \left\{ \frac{2}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+13}& = &6 \\\Leftrightarrow & 8x \color{red}{+13}\color{blue}{-13}
& = &6\color{blue}{-13} \\\Leftrightarrow &8x
& = &-7\\\Leftrightarrow & \color{red}{8}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-7}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{8} } & & \\ & V = \left\{ \frac{-7}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+3}& = &9 \\\Leftrightarrow & 9x \color{red}{+3}\color{blue}{-3}
& = &9\color{blue}{-3} \\\Leftrightarrow &9x
& = &6\\\Leftrightarrow & \color{red}{9}x
& = &6\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{6}{9} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-6}& = &-8 \\\Leftrightarrow & 14x \color{red}{-6}\color{blue}{+6}
& = &-8\color{blue}{+6} \\\Leftrightarrow &14x
& = &-2\\\Leftrightarrow & \color{red}{14}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-2}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{7} } & & \\ & V = \left\{ \frac{-1}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-14}& = &-3 \\\Leftrightarrow & 7x \color{red}{-14}\color{blue}{+14}
& = &-3\color{blue}{+14} \\\Leftrightarrow &7x
& = &11\\\Leftrightarrow & \color{red}{7}x
& = &11\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{11}{7} \\\Leftrightarrow & \color{green}{ x = \frac{11}{7} } & & \\ & V = \left\{ \frac{11}{7} \right\} & \\\end{align}\)