Bepaal de waarde van x.
- \(9x+5=5\)
- \(9x+8=2\)
- \(10x-9=2\)
- \(-6x+6=-14\)
- \(9x+7=11\)
- \(-14x+4=8\)
- \(-10x-3=1\)
- \(12x-4=10\)
- \(11x-7=-4\)
- \(11x-10=-13\)
- \(6x-7=7\)
- \(-12x+3=-3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 9x \color{red}{+5}& = &5 \\\Leftrightarrow & 9x \color{red}{+5}\color{blue}{-5}
& = &5\color{blue}{-5} \\\Leftrightarrow &9x
& = &0\\\Leftrightarrow & \color{red}{9}x
& = &0\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{0}{9} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+8}& = &2 \\\Leftrightarrow & 9x \color{red}{+8}\color{blue}{-8}
& = &2\color{blue}{-8} \\\Leftrightarrow &9x
& = &-6\\\Leftrightarrow & \color{red}{9}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-6}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{3} } & & \\ & V = \left\{ \frac{-2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-9}& = &2 \\\Leftrightarrow & 10x \color{red}{-9}\color{blue}{+9}
& = &2\color{blue}{+9} \\\Leftrightarrow &10x
& = &11\\\Leftrightarrow & \color{red}{10}x
& = &11\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{11}{10} \\\Leftrightarrow & \color{green}{ x = \frac{11}{10} } & & \\ & V = \left\{ \frac{11}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+6}& = &-14 \\\Leftrightarrow & -6x \color{red}{+6}\color{blue}{-6}
& = &-14\color{blue}{-6} \\\Leftrightarrow &-6x
& = &-20\\\Leftrightarrow & \color{red}{-6}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-20}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{10}{3} } & & \\ & V = \left\{ \frac{10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+7}& = &11 \\\Leftrightarrow & 9x \color{red}{+7}\color{blue}{-7}
& = &11\color{blue}{-7} \\\Leftrightarrow &9x
& = &4\\\Leftrightarrow & \color{red}{9}x
& = &4\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{4}{9} \\\Leftrightarrow & \color{green}{ x = \frac{4}{9} } & & \\ & V = \left\{ \frac{4}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+4}& = &8 \\\Leftrightarrow & -14x \color{red}{+4}\color{blue}{-4}
& = &8\color{blue}{-4} \\\Leftrightarrow &-14x
& = &4\\\Leftrightarrow & \color{red}{-14}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{4}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{7} } & & \\ & V = \left\{ \frac{-2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-3}& = &1 \\\Leftrightarrow & -10x \color{red}{-3}\color{blue}{+3}
& = &1\color{blue}{+3} \\\Leftrightarrow &-10x
& = &4\\\Leftrightarrow & \color{red}{-10}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{4}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{5} } & & \\ & V = \left\{ \frac{-2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-4}& = &10 \\\Leftrightarrow & 12x \color{red}{-4}\color{blue}{+4}
& = &10\color{blue}{+4} \\\Leftrightarrow &12x
& = &14\\\Leftrightarrow & \color{red}{12}x
& = &14\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{14}{12} \\\Leftrightarrow & \color{green}{ x = \frac{7}{6} } & & \\ & V = \left\{ \frac{7}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-7}& = &-4 \\\Leftrightarrow & 11x \color{red}{-7}\color{blue}{+7}
& = &-4\color{blue}{+7} \\\Leftrightarrow &11x
& = &3\\\Leftrightarrow & \color{red}{11}x
& = &3\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{3}{11} \\\Leftrightarrow & \color{green}{ x = \frac{3}{11} } & & \\ & V = \left\{ \frac{3}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-10}& = &-13 \\\Leftrightarrow & 11x \color{red}{-10}\color{blue}{+10}
& = &-13\color{blue}{+10} \\\Leftrightarrow &11x
& = &-3\\\Leftrightarrow & \color{red}{11}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{-3}{11} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{11} } & & \\ & V = \left\{ \frac{-3}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-7}& = &7 \\\Leftrightarrow & 6x \color{red}{-7}\color{blue}{+7}
& = &7\color{blue}{+7} \\\Leftrightarrow &6x
& = &14\\\Leftrightarrow & \color{red}{6}x
& = &14\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{14}{6} \\\Leftrightarrow & \color{green}{ x = \frac{7}{3} } & & \\ & V = \left\{ \frac{7}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+3}& = &-3 \\\Leftrightarrow & -12x \color{red}{+3}\color{blue}{-3}
& = &-3\color{blue}{-3} \\\Leftrightarrow &-12x
& = &-6\\\Leftrightarrow & \color{red}{-12}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-6}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)