Bepaal de waarde van x.
- \(-5x-1=-1\)
- \(-15x-1=-13\)
- \(-9x-12=5\)
- \(9x+6=13\)
- \(-11x-7=-8\)
- \(-3x+14=-3\)
- \(2x-11=-12\)
- \(-3x-12=-2\)
- \(6x+10=8\)
- \(3x-11=-11\)
- \(-12x+14=12\)
- \(9x+14=-10\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -5x \color{red}{-1}& = &-1 \\\Leftrightarrow & -5x \color{red}{-1}\color{blue}{+1}
& = &-1\color{blue}{+1} \\\Leftrightarrow &-5x
& = &0\\\Leftrightarrow & \color{red}{-5}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{0}{-5} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-1}& = &-13 \\\Leftrightarrow & -15x \color{red}{-1}\color{blue}{+1}
& = &-13\color{blue}{+1} \\\Leftrightarrow &-15x
& = &-12\\\Leftrightarrow & \color{red}{-15}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-12}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{4}{5} } & & \\ & V = \left\{ \frac{4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-12}& = &5 \\\Leftrightarrow & -9x \color{red}{-12}\color{blue}{+12}
& = &5\color{blue}{+12} \\\Leftrightarrow &-9x
& = &17\\\Leftrightarrow & \color{red}{-9}x
& = &17\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{17}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-17}{9} } & & \\ & V = \left\{ \frac{-17}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+6}& = &13 \\\Leftrightarrow & 9x \color{red}{+6}\color{blue}{-6}
& = &13\color{blue}{-6} \\\Leftrightarrow &9x
& = &7\\\Leftrightarrow & \color{red}{9}x
& = &7\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{7}{9} \\\Leftrightarrow & \color{green}{ x = \frac{7}{9} } & & \\ & V = \left\{ \frac{7}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{-7}& = &-8 \\\Leftrightarrow & -11x \color{red}{-7}\color{blue}{+7}
& = &-8\color{blue}{+7} \\\Leftrightarrow &-11x
& = &-1\\\Leftrightarrow & \color{red}{-11}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-1}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{1}{11} } & & \\ & V = \left\{ \frac{1}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+14}& = &-3 \\\Leftrightarrow & -3x \color{red}{+14}\color{blue}{-14}
& = &-3\color{blue}{-14} \\\Leftrightarrow &-3x
& = &-17\\\Leftrightarrow & \color{red}{-3}x
& = &-17\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-17}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{17}{3} } & & \\ & V = \left\{ \frac{17}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-11}& = &-12 \\\Leftrightarrow & 2x \color{red}{-11}\color{blue}{+11}
& = &-12\color{blue}{+11} \\\Leftrightarrow &2x
& = &-1\\\Leftrightarrow & \color{red}{2}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-1}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{2} } & & \\ & V = \left\{ \frac{-1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-12}& = &-2 \\\Leftrightarrow & -3x \color{red}{-12}\color{blue}{+12}
& = &-2\color{blue}{+12} \\\Leftrightarrow &-3x
& = &10\\\Leftrightarrow & \color{red}{-3}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{10}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{-10}{3} } & & \\ & V = \left\{ \frac{-10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+10}& = &8 \\\Leftrightarrow & 6x \color{red}{+10}\color{blue}{-10}
& = &8\color{blue}{-10} \\\Leftrightarrow &6x
& = &-2\\\Leftrightarrow & \color{red}{6}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-2}{6} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{3} } & & \\ & V = \left\{ \frac{-1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-11}& = &-11 \\\Leftrightarrow & 3x \color{red}{-11}\color{blue}{+11}
& = &-11\color{blue}{+11} \\\Leftrightarrow &3x
& = &0\\\Leftrightarrow & \color{red}{3}x
& = &0\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{0}{3} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+14}& = &12 \\\Leftrightarrow & -12x \color{red}{+14}\color{blue}{-14}
& = &12\color{blue}{-14} \\\Leftrightarrow &-12x
& = &-2\\\Leftrightarrow & \color{red}{-12}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-2}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{6} } & & \\ & V = \left\{ \frac{1}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+14}& = &-10 \\\Leftrightarrow & 9x \color{red}{+14}\color{blue}{-14}
& = &-10\color{blue}{-14} \\\Leftrightarrow &9x
& = &-24\\\Leftrightarrow & \color{red}{9}x
& = &-24\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-24}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-8}{3} } & & \\ & V = \left\{ \frac{-8}{3} \right\} & \\\end{align}\)