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