Bepaal de waarde van x.
- \(-4x-14=11\)
- \(-2x+11=5\)
- \(-14x+2=-12\)
- \(13x+11=-1\)
- \(9x+8=7\)
- \(2x+12=-3\)
- \(-x-6=13\)
- \(12x+8=-2\)
- \(-9x-6=10\)
- \(5x+15=-12\)
- \(-6x+11=-10\)
- \(-15x-7=11\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -4x \color{red}{-14}& = &11 \\\Leftrightarrow & -4x \color{red}{-14}\color{blue}{+14}
& = &11\color{blue}{+14} \\\Leftrightarrow &-4x
& = &25\\\Leftrightarrow & \color{red}{-4}x
& = &25\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{25}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{4} } & & \\ & V = \left\{ \frac{-25}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+11}& = &5 \\\Leftrightarrow & -2x \color{red}{+11}\color{blue}{-11}
& = &5\color{blue}{-11} \\\Leftrightarrow &-2x
& = &-6\\\Leftrightarrow & \color{red}{-2}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-6}{-2} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+2}& = &-12 \\\Leftrightarrow & -14x \color{red}{+2}\color{blue}{-2}
& = &-12\color{blue}{-2} \\\Leftrightarrow &-14x
& = &-14\\\Leftrightarrow & \color{red}{-14}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-14}{-14} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+11}& = &-1 \\\Leftrightarrow & 13x \color{red}{+11}\color{blue}{-11}
& = &-1\color{blue}{-11} \\\Leftrightarrow &13x
& = &-12\\\Leftrightarrow & \color{red}{13}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-12}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-12}{13} } & & \\ & V = \left\{ \frac{-12}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+8}& = &7 \\\Leftrightarrow & 9x \color{red}{+8}\color{blue}{-8}
& = &7\color{blue}{-8} \\\Leftrightarrow &9x
& = &-1\\\Leftrightarrow & \color{red}{9}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-1}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{9} } & & \\ & V = \left\{ \frac{-1}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+12}& = &-3 \\\Leftrightarrow & 2x \color{red}{+12}\color{blue}{-12}
& = &-3\color{blue}{-12} \\\Leftrightarrow &2x
& = &-15\\\Leftrightarrow & \color{red}{2}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-15}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-15}{2} } & & \\ & V = \left\{ \frac{-15}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-6}& = &13 \\\Leftrightarrow & -x \color{red}{-6}\color{blue}{+6}
& = &13\color{blue}{+6} \\\Leftrightarrow &-x
& = &19\\\Leftrightarrow & \color{red}{-}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{19}{-1} \\\Leftrightarrow & \color{green}{ x = -19 } & & \\ & V = \left\{ -19 \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+8}& = &-2 \\\Leftrightarrow & 12x \color{red}{+8}\color{blue}{-8}
& = &-2\color{blue}{-8} \\\Leftrightarrow &12x
& = &-10\\\Leftrightarrow & \color{red}{12}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-10}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{6} } & & \\ & V = \left\{ \frac{-5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-6}& = &10 \\\Leftrightarrow & -9x \color{red}{-6}\color{blue}{+6}
& = &10\color{blue}{+6} \\\Leftrightarrow &-9x
& = &16\\\Leftrightarrow & \color{red}{-9}x
& = &16\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{16}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{9} } & & \\ & V = \left\{ \frac{-16}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+15}& = &-12 \\\Leftrightarrow & 5x \color{red}{+15}\color{blue}{-15}
& = &-12\color{blue}{-15} \\\Leftrightarrow &5x
& = &-27\\\Leftrightarrow & \color{red}{5}x
& = &-27\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-27}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-27}{5} } & & \\ & V = \left\{ \frac{-27}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+11}& = &-10 \\\Leftrightarrow & -6x \color{red}{+11}\color{blue}{-11}
& = &-10\color{blue}{-11} \\\Leftrightarrow &-6x
& = &-21\\\Leftrightarrow & \color{red}{-6}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-21}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{7}{2} } & & \\ & V = \left\{ \frac{7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-7}& = &11 \\\Leftrightarrow & -15x \color{red}{-7}\color{blue}{+7}
& = &11\color{blue}{+7} \\\Leftrightarrow &-15x
& = &18\\\Leftrightarrow & \color{red}{-15}x
& = &18\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{18}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{5} } & & \\ & V = \left\{ \frac{-6}{5} \right\} & \\\end{align}\)