Bepaal de waarde van x.
- \(-x+5=-10\)
- \(-10x+6=8\)
- \(9x-12=6\)
- \(-13x-12=-11\)
- \(13x-6=10\)
- \(-10x-5=-12\)
- \(12x+11=15\)
- \(10x+1=-9\)
- \(7x+2=-14\)
- \(x+8=4\)
- \(-12x-2=-3\)
- \(8x-14=-14\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -x \color{red}{+5}& = &-10 \\\Leftrightarrow & -x \color{red}{+5}\color{blue}{-5}
& = &-10\color{blue}{-5} \\\Leftrightarrow &-x
& = &-15\\\Leftrightarrow & \color{red}{-}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-15}{-1} \\\Leftrightarrow & \color{green}{ x = 15 } & & \\ & V = \left\{ 15 \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+6}& = &8 \\\Leftrightarrow & -10x \color{red}{+6}\color{blue}{-6}
& = &8\color{blue}{-6} \\\Leftrightarrow &-10x
& = &2\\\Leftrightarrow & \color{red}{-10}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{2}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{5} } & & \\ & V = \left\{ \frac{-1}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-12}& = &6 \\\Leftrightarrow & 9x \color{red}{-12}\color{blue}{+12}
& = &6\color{blue}{+12} \\\Leftrightarrow &9x
& = &18\\\Leftrightarrow & \color{red}{9}x
& = &18\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{18}{9} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-12}& = &-11 \\\Leftrightarrow & -13x \color{red}{-12}\color{blue}{+12}
& = &-11\color{blue}{+12} \\\Leftrightarrow &-13x
& = &1\\\Leftrightarrow & \color{red}{-13}x
& = &1\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{1}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{13} } & & \\ & V = \left\{ \frac{-1}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-6}& = &10 \\\Leftrightarrow & 13x \color{red}{-6}\color{blue}{+6}
& = &10\color{blue}{+6} \\\Leftrightarrow &13x
& = &16\\\Leftrightarrow & \color{red}{13}x
& = &16\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{16}{13} \\\Leftrightarrow & \color{green}{ x = \frac{16}{13} } & & \\ & V = \left\{ \frac{16}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-5}& = &-12 \\\Leftrightarrow & -10x \color{red}{-5}\color{blue}{+5}
& = &-12\color{blue}{+5} \\\Leftrightarrow &-10x
& = &-7\\\Leftrightarrow & \color{red}{-10}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-7}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{7}{10} } & & \\ & V = \left\{ \frac{7}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+11}& = &15 \\\Leftrightarrow & 12x \color{red}{+11}\color{blue}{-11}
& = &15\color{blue}{-11} \\\Leftrightarrow &12x
& = &4\\\Leftrightarrow & \color{red}{12}x
& = &4\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{4}{12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+1}& = &-9 \\\Leftrightarrow & 10x \color{red}{+1}\color{blue}{-1}
& = &-9\color{blue}{-1} \\\Leftrightarrow &10x
& = &-10\\\Leftrightarrow & \color{red}{10}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-10}{10} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+2}& = &-14 \\\Leftrightarrow & 7x \color{red}{+2}\color{blue}{-2}
& = &-14\color{blue}{-2} \\\Leftrightarrow &7x
& = &-16\\\Leftrightarrow & \color{red}{7}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-16}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{7} } & & \\ & V = \left\{ \frac{-16}{7} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+8}& = &4 \\\Leftrightarrow & x \color{red}{+8}\color{blue}{-8}
& = &4\color{blue}{-8} \\\Leftrightarrow &x
& = &-4\\\Leftrightarrow & \color{red}{}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -4 \\\Leftrightarrow & \color{green}{ x = -4 } & & \\ & V = \left\{ -4 \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-2}& = &-3 \\\Leftrightarrow & -12x \color{red}{-2}\color{blue}{+2}
& = &-3\color{blue}{+2} \\\Leftrightarrow &-12x
& = &-1\\\Leftrightarrow & \color{red}{-12}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-1}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{12} } & & \\ & V = \left\{ \frac{1}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{-14}& = &-14 \\\Leftrightarrow & 8x \color{red}{-14}\color{blue}{+14}
& = &-14\color{blue}{+14} \\\Leftrightarrow &8x
& = &0\\\Leftrightarrow & \color{red}{8}x
& = &0\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{0}{8} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)