Bepaal de waarde van x.
- \(-x+8=-6\)
- \(-5x+15=-6\)
- \(-x-11=-11\)
- \(-14x+7=-2\)
- \(-4x+4=-3\)
- \(-5x+7=2\)
- \(-4x-15=-9\)
- \(-11x+4=8\)
- \(9x-6=-1\)
- \(-5x-13=-10\)
- \(3x-11=-10\)
- \(-x-7=4\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -x \color{red}{+8}& = &-6 \\\Leftrightarrow & -x \color{red}{+8}\color{blue}{-8}
& = &-6\color{blue}{-8} \\\Leftrightarrow &-x
& = &-14\\\Leftrightarrow & \color{red}{-}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-14}{-1} \\\Leftrightarrow & \color{green}{ x = 14 } & & \\ & V = \left\{ 14 \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+15}& = &-6 \\\Leftrightarrow & -5x \color{red}{+15}\color{blue}{-15}
& = &-6\color{blue}{-15} \\\Leftrightarrow &-5x
& = &-21\\\Leftrightarrow & \color{red}{-5}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-21}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{21}{5} } & & \\ & V = \left\{ \frac{21}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-11}& = &-11 \\\Leftrightarrow & -x \color{red}{-11}\color{blue}{+11}
& = &-11\color{blue}{+11} \\\Leftrightarrow &-x
& = &0\\\Leftrightarrow & \color{red}{-}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{0}{-1} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+7}& = &-2 \\\Leftrightarrow & -14x \color{red}{+7}\color{blue}{-7}
& = &-2\color{blue}{-7} \\\Leftrightarrow &-14x
& = &-9\\\Leftrightarrow & \color{red}{-14}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-9}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{9}{14} } & & \\ & V = \left\{ \frac{9}{14} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+4}& = &-3 \\\Leftrightarrow & -4x \color{red}{+4}\color{blue}{-4}
& = &-3\color{blue}{-4} \\\Leftrightarrow &-4x
& = &-7\\\Leftrightarrow & \color{red}{-4}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-7}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{7}{4} } & & \\ & V = \left\{ \frac{7}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+7}& = &2 \\\Leftrightarrow & -5x \color{red}{+7}\color{blue}{-7}
& = &2\color{blue}{-7} \\\Leftrightarrow &-5x
& = &-5\\\Leftrightarrow & \color{red}{-5}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-5}{-5} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-15}& = &-9 \\\Leftrightarrow & -4x \color{red}{-15}\color{blue}{+15}
& = &-9\color{blue}{+15} \\\Leftrightarrow &-4x
& = &6\\\Leftrightarrow & \color{red}{-4}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{6}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+4}& = &8 \\\Leftrightarrow & -11x \color{red}{+4}\color{blue}{-4}
& = &8\color{blue}{-4} \\\Leftrightarrow &-11x
& = &4\\\Leftrightarrow & \color{red}{-11}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{4}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{11} } & & \\ & V = \left\{ \frac{-4}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-6}& = &-1 \\\Leftrightarrow & 9x \color{red}{-6}\color{blue}{+6}
& = &-1\color{blue}{+6} \\\Leftrightarrow &9x
& = &5\\\Leftrightarrow & \color{red}{9}x
& = &5\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{5}{9} \\\Leftrightarrow & \color{green}{ x = \frac{5}{9} } & & \\ & V = \left\{ \frac{5}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-13}& = &-10 \\\Leftrightarrow & -5x \color{red}{-13}\color{blue}{+13}
& = &-10\color{blue}{+13} \\\Leftrightarrow &-5x
& = &3\\\Leftrightarrow & \color{red}{-5}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{3}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{5} } & & \\ & V = \left\{ \frac{-3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-11}& = &-10 \\\Leftrightarrow & 3x \color{red}{-11}\color{blue}{+11}
& = &-10\color{blue}{+11} \\\Leftrightarrow &3x
& = &1\\\Leftrightarrow & \color{red}{3}x
& = &1\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{1}{3} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-7}& = &4 \\\Leftrightarrow & -x \color{red}{-7}\color{blue}{+7}
& = &4\color{blue}{+7} \\\Leftrightarrow &-x
& = &11\\\Leftrightarrow & \color{red}{-}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{11}{-1} \\\Leftrightarrow & \color{green}{ x = -11 } & & \\ & V = \left\{ -11 \right\} & \\\end{align}\)