Bepaal de waarde van x.
- \(14x+13=9\)
- \(12x-6=7\)
- \(6x-4=8\)
- \(13x+4=-9\)
- \(-15x-1=6\)
- \(6x+3=8\)
- \(-14x+9=4\)
- \(9x+6=-14\)
- \(-13x+1=-3\)
- \(2x-6=-1\)
- \(10x-15=-15\)
- \(-3x-13=-15\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 14x \color{red}{+13}& = &9 \\\Leftrightarrow & 14x \color{red}{+13}\color{blue}{-13}
& = &9\color{blue}{-13} \\\Leftrightarrow &14x
& = &-4\\\Leftrightarrow & \color{red}{14}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-4}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{7} } & & \\ & V = \left\{ \frac{-2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-6}& = &7 \\\Leftrightarrow & 12x \color{red}{-6}\color{blue}{+6}
& = &7\color{blue}{+6} \\\Leftrightarrow &12x
& = &13\\\Leftrightarrow & \color{red}{12}x
& = &13\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{13}{12} \\\Leftrightarrow & \color{green}{ x = \frac{13}{12} } & & \\ & V = \left\{ \frac{13}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-4}& = &8 \\\Leftrightarrow & 6x \color{red}{-4}\color{blue}{+4}
& = &8\color{blue}{+4} \\\Leftrightarrow &6x
& = &12\\\Leftrightarrow & \color{red}{6}x
& = &12\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{12}{6} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+4}& = &-9 \\\Leftrightarrow & 13x \color{red}{+4}\color{blue}{-4}
& = &-9\color{blue}{-4} \\\Leftrightarrow &13x
& = &-13\\\Leftrightarrow & \color{red}{13}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-13}{13} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-1}& = &6 \\\Leftrightarrow & -15x \color{red}{-1}\color{blue}{+1}
& = &6\color{blue}{+1} \\\Leftrightarrow &-15x
& = &7\\\Leftrightarrow & \color{red}{-15}x
& = &7\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{7}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{15} } & & \\ & V = \left\{ \frac{-7}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+3}& = &8 \\\Leftrightarrow & 6x \color{red}{+3}\color{blue}{-3}
& = &8\color{blue}{-3} \\\Leftrightarrow &6x
& = &5\\\Leftrightarrow & \color{red}{6}x
& = &5\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{5}{6} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+9}& = &4 \\\Leftrightarrow & -14x \color{red}{+9}\color{blue}{-9}
& = &4\color{blue}{-9} \\\Leftrightarrow &-14x
& = &-5\\\Leftrightarrow & \color{red}{-14}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-5}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{5}{14} } & & \\ & V = \left\{ \frac{5}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+6}& = &-14 \\\Leftrightarrow & 9x \color{red}{+6}\color{blue}{-6}
& = &-14\color{blue}{-6} \\\Leftrightarrow &9x
& = &-20\\\Leftrightarrow & \color{red}{9}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-20}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-20}{9} } & & \\ & V = \left\{ \frac{-20}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+1}& = &-3 \\\Leftrightarrow & -13x \color{red}{+1}\color{blue}{-1}
& = &-3\color{blue}{-1} \\\Leftrightarrow &-13x
& = &-4\\\Leftrightarrow & \color{red}{-13}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-4}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{4}{13} } & & \\ & V = \left\{ \frac{4}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-6}& = &-1 \\\Leftrightarrow & 2x \color{red}{-6}\color{blue}{+6}
& = &-1\color{blue}{+6} \\\Leftrightarrow &2x
& = &5\\\Leftrightarrow & \color{red}{2}x
& = &5\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{5}{2} \\\Leftrightarrow & \color{green}{ x = \frac{5}{2} } & & \\ & V = \left\{ \frac{5}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-15}& = &-15 \\\Leftrightarrow & 10x \color{red}{-15}\color{blue}{+15}
& = &-15\color{blue}{+15} \\\Leftrightarrow &10x
& = &0\\\Leftrightarrow & \color{red}{10}x
& = &0\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{0}{10} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-13}& = &-15 \\\Leftrightarrow & -3x \color{red}{-13}\color{blue}{+13}
& = &-15\color{blue}{+13} \\\Leftrightarrow &-3x
& = &-2\\\Leftrightarrow & \color{red}{-3}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-2}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)