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