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