Bepaal de waarde van x.
- \(-6x+3=-10\)
- \(-2x+6=-1\)
- \(-4x-15=14\)
- \(-12x-1=-1\)
- \(12x+12=-13\)
- \(7x+8=-1\)
- \(-4x-10=9\)
- \(2x-14=2\)
- \(6x-13=7\)
- \(5x-7=-10\)
- \(-13x-2=2\)
- \(-11x+13=8\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -6x \color{red}{+3}& = &-10 \\\Leftrightarrow & -6x \color{red}{+3}\color{blue}{-3}
& = &-10\color{blue}{-3} \\\Leftrightarrow &-6x
& = &-13\\\Leftrightarrow & \color{red}{-6}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-13}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{13}{6} } & & \\ & V = \left\{ \frac{13}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+6}& = &-1 \\\Leftrightarrow & -2x \color{red}{+6}\color{blue}{-6}
& = &-1\color{blue}{-6} \\\Leftrightarrow &-2x
& = &-7\\\Leftrightarrow & \color{red}{-2}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-7}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{7}{2} } & & \\ & V = \left\{ \frac{7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-15}& = &14 \\\Leftrightarrow & -4x \color{red}{-15}\color{blue}{+15}
& = &14\color{blue}{+15} \\\Leftrightarrow &-4x
& = &29\\\Leftrightarrow & \color{red}{-4}x
& = &29\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{29}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-29}{4} } & & \\ & V = \left\{ \frac{-29}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-1}& = &-1 \\\Leftrightarrow & -12x \color{red}{-1}\color{blue}{+1}
& = &-1\color{blue}{+1} \\\Leftrightarrow &-12x
& = &0\\\Leftrightarrow & \color{red}{-12}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{0}{-12} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+12}& = &-13 \\\Leftrightarrow & 12x \color{red}{+12}\color{blue}{-12}
& = &-13\color{blue}{-12} \\\Leftrightarrow &12x
& = &-25\\\Leftrightarrow & \color{red}{12}x
& = &-25\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-25}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{12} } & & \\ & V = \left\{ \frac{-25}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+8}& = &-1 \\\Leftrightarrow & 7x \color{red}{+8}\color{blue}{-8}
& = &-1\color{blue}{-8} \\\Leftrightarrow &7x
& = &-9\\\Leftrightarrow & \color{red}{7}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-9}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{7} } & & \\ & V = \left\{ \frac{-9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-10}& = &9 \\\Leftrightarrow & -4x \color{red}{-10}\color{blue}{+10}
& = &9\color{blue}{+10} \\\Leftrightarrow &-4x
& = &19\\\Leftrightarrow & \color{red}{-4}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{19}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{4} } & & \\ & V = \left\{ \frac{-19}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-14}& = &2 \\\Leftrightarrow & 2x \color{red}{-14}\color{blue}{+14}
& = &2\color{blue}{+14} \\\Leftrightarrow &2x
& = &16\\\Leftrightarrow & \color{red}{2}x
& = &16\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{16}{2} \\\Leftrightarrow & \color{green}{ x = 8 } & & \\ & V = \left\{ 8 \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-13}& = &7 \\\Leftrightarrow & 6x \color{red}{-13}\color{blue}{+13}
& = &7\color{blue}{+13} \\\Leftrightarrow &6x
& = &20\\\Leftrightarrow & \color{red}{6}x
& = &20\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{20}{6} \\\Leftrightarrow & \color{green}{ x = \frac{10}{3} } & & \\ & V = \left\{ \frac{10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-7}& = &-10 \\\Leftrightarrow & 5x \color{red}{-7}\color{blue}{+7}
& = &-10\color{blue}{+7} \\\Leftrightarrow &5x
& = &-3\\\Leftrightarrow & \color{red}{5}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-3}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{5} } & & \\ & V = \left\{ \frac{-3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-2}& = &2 \\\Leftrightarrow & -13x \color{red}{-2}\color{blue}{+2}
& = &2\color{blue}{+2} \\\Leftrightarrow &-13x
& = &4\\\Leftrightarrow & \color{red}{-13}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{4}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{13} } & & \\ & V = \left\{ \frac{-4}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+13}& = &8 \\\Leftrightarrow & -11x \color{red}{+13}\color{blue}{-13}
& = &8\color{blue}{-13} \\\Leftrightarrow &-11x
& = &-5\\\Leftrightarrow & \color{red}{-11}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-5}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{5}{11} } & & \\ & V = \left\{ \frac{5}{11} \right\} & \\\end{align}\)