Bepaal de waarde van x.
- \(9x+3=-8\)
- \(-13x+14=14\)
- \(5x-10=9\)
- \(-3x-14=-8\)
- \(10x+5=-14\)
- \(-x+9=15\)
- \(7x+7=3\)
- \(7x+3=10\)
- \(x+4=-14\)
- \(3x+5=-13\)
- \(-8x+9=13\)
- \(9x+1=-11\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 9x \color{red}{+3}& = &-8 \\\Leftrightarrow & 9x \color{red}{+3}\color{blue}{-3}
& = &-8\color{blue}{-3} \\\Leftrightarrow &9x
& = &-11\\\Leftrightarrow & \color{red}{9}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-11}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{9} } & & \\ & V = \left\{ \frac{-11}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+14}& = &14 \\\Leftrightarrow & -13x \color{red}{+14}\color{blue}{-14}
& = &14\color{blue}{-14} \\\Leftrightarrow &-13x
& = &0\\\Leftrightarrow & \color{red}{-13}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{0}{-13} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-10}& = &9 \\\Leftrightarrow & 5x \color{red}{-10}\color{blue}{+10}
& = &9\color{blue}{+10} \\\Leftrightarrow &5x
& = &19\\\Leftrightarrow & \color{red}{5}x
& = &19\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{19}{5} \\\Leftrightarrow & \color{green}{ x = \frac{19}{5} } & & \\ & V = \left\{ \frac{19}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-14}& = &-8 \\\Leftrightarrow & -3x \color{red}{-14}\color{blue}{+14}
& = &-8\color{blue}{+14} \\\Leftrightarrow &-3x
& = &6\\\Leftrightarrow & \color{red}{-3}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{6}{-3} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+5}& = &-14 \\\Leftrightarrow & 10x \color{red}{+5}\color{blue}{-5}
& = &-14\color{blue}{-5} \\\Leftrightarrow &10x
& = &-19\\\Leftrightarrow & \color{red}{10}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-19}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{10} } & & \\ & V = \left\{ \frac{-19}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+9}& = &15 \\\Leftrightarrow & -x \color{red}{+9}\color{blue}{-9}
& = &15\color{blue}{-9} \\\Leftrightarrow &-x
& = &6\\\Leftrightarrow & \color{red}{-}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{6}{-1} \\\Leftrightarrow & \color{green}{ x = -6 } & & \\ & V = \left\{ -6 \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+7}& = &3 \\\Leftrightarrow & 7x \color{red}{+7}\color{blue}{-7}
& = &3\color{blue}{-7} \\\Leftrightarrow &7x
& = &-4\\\Leftrightarrow & \color{red}{7}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-4}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{7} } & & \\ & V = \left\{ \frac{-4}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+3}& = &10 \\\Leftrightarrow & 7x \color{red}{+3}\color{blue}{-3}
& = &10\color{blue}{-3} \\\Leftrightarrow &7x
& = &7\\\Leftrightarrow & \color{red}{7}x
& = &7\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{7}{7} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+4}& = &-14 \\\Leftrightarrow & x \color{red}{+4}\color{blue}{-4}
& = &-14\color{blue}{-4} \\\Leftrightarrow &x
& = &-18\\\Leftrightarrow & \color{red}{}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -18 \\\Leftrightarrow & \color{green}{ x = -18 } & & \\ & V = \left\{ -18 \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+5}& = &-13 \\\Leftrightarrow & 3x \color{red}{+5}\color{blue}{-5}
& = &-13\color{blue}{-5} \\\Leftrightarrow &3x
& = &-18\\\Leftrightarrow & \color{red}{3}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-18}{3} \\\Leftrightarrow & \color{green}{ x = -6 } & & \\ & V = \left\{ -6 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+9}& = &13 \\\Leftrightarrow & -8x \color{red}{+9}\color{blue}{-9}
& = &13\color{blue}{-9} \\\Leftrightarrow &-8x
& = &4\\\Leftrightarrow & \color{red}{-8}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{4}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{2} } & & \\ & V = \left\{ \frac{-1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+1}& = &-11 \\\Leftrightarrow & 9x \color{red}{+1}\color{blue}{-1}
& = &-11\color{blue}{-1} \\\Leftrightarrow &9x
& = &-12\\\Leftrightarrow & \color{red}{9}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-12}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{3} } & & \\ & V = \left\{ \frac{-4}{3} \right\} & \\\end{align}\)