Bepaal de waarde van x.
- \(6x+13=5\)
- \(-8x-8=-5\)
- \(14x-10=-14\)
- \(9x-15=6\)
- \(10x-5=-12\)
- \(-5x-6=13\)
- \(-x+2=9\)
- \(-9x+3=8\)
- \(-11x-12=11\)
- \(-4x+8=8\)
- \(-3x-12=13\)
- \(-3x+7=-6\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 6x \color{red}{+13}& = &5 \\\Leftrightarrow & 6x \color{red}{+13}\color{blue}{-13}
& = &5\color{blue}{-13} \\\Leftrightarrow &6x
& = &-8\\\Leftrightarrow & \color{red}{6}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-8}{6} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{3} } & & \\ & V = \left\{ \frac{-4}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{-8}& = &-5 \\\Leftrightarrow & -8x \color{red}{-8}\color{blue}{+8}
& = &-5\color{blue}{+8} \\\Leftrightarrow &-8x
& = &3\\\Leftrightarrow & \color{red}{-8}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{3}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{8} } & & \\ & V = \left\{ \frac{-3}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-10}& = &-14 \\\Leftrightarrow & 14x \color{red}{-10}\color{blue}{+10}
& = &-14\color{blue}{+10} \\\Leftrightarrow &14x
& = &-4\\\Leftrightarrow & \color{red}{14}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-4}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{7} } & & \\ & V = \left\{ \frac{-2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-15}& = &6 \\\Leftrightarrow & 9x \color{red}{-15}\color{blue}{+15}
& = &6\color{blue}{+15} \\\Leftrightarrow &9x
& = &21\\\Leftrightarrow & \color{red}{9}x
& = &21\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{21}{9} \\\Leftrightarrow & \color{green}{ x = \frac{7}{3} } & & \\ & V = \left\{ \frac{7}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-5}& = &-12 \\\Leftrightarrow & 10x \color{red}{-5}\color{blue}{+5}
& = &-12\color{blue}{+5} \\\Leftrightarrow &10x
& = &-7\\\Leftrightarrow & \color{red}{10}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-7}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{10} } & & \\ & V = \left\{ \frac{-7}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-6}& = &13 \\\Leftrightarrow & -5x \color{red}{-6}\color{blue}{+6}
& = &13\color{blue}{+6} \\\Leftrightarrow &-5x
& = &19\\\Leftrightarrow & \color{red}{-5}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{19}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{5} } & & \\ & V = \left\{ \frac{-19}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+2}& = &9 \\\Leftrightarrow & -x \color{red}{+2}\color{blue}{-2}
& = &9\color{blue}{-2} \\\Leftrightarrow &-x
& = &7\\\Leftrightarrow & \color{red}{-}x
& = &7\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{7}{-1} \\\Leftrightarrow & \color{green}{ x = -7 } & & \\ & V = \left\{ -7 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+3}& = &8 \\\Leftrightarrow & -9x \color{red}{+3}\color{blue}{-3}
& = &8\color{blue}{-3} \\\Leftrightarrow &-9x
& = &5\\\Leftrightarrow & \color{red}{-9}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{5}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{9} } & & \\ & V = \left\{ \frac{-5}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{-12}& = &11 \\\Leftrightarrow & -11x \color{red}{-12}\color{blue}{+12}
& = &11\color{blue}{+12} \\\Leftrightarrow &-11x
& = &23\\\Leftrightarrow & \color{red}{-11}x
& = &23\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{23}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{11} } & & \\ & V = \left\{ \frac{-23}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+8}& = &8 \\\Leftrightarrow & -4x \color{red}{+8}\color{blue}{-8}
& = &8\color{blue}{-8} \\\Leftrightarrow &-4x
& = &0\\\Leftrightarrow & \color{red}{-4}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{0}{-4} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-12}& = &13 \\\Leftrightarrow & -3x \color{red}{-12}\color{blue}{+12}
& = &13\color{blue}{+12} \\\Leftrightarrow &-3x
& = &25\\\Leftrightarrow & \color{red}{-3}x
& = &25\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{25}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{3} } & & \\ & V = \left\{ \frac{-25}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+7}& = &-6 \\\Leftrightarrow & -3x \color{red}{+7}\color{blue}{-7}
& = &-6\color{blue}{-7} \\\Leftrightarrow &-3x
& = &-13\\\Leftrightarrow & \color{red}{-3}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-13}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{13}{3} } & & \\ & V = \left\{ \frac{13}{3} \right\} & \\\end{align}\)