Bepaal de waarde van x.
- \(3x+12=-2\)
- \(7x+2=-4\)
- \(3x+6=-15\)
- \(13x-3=14\)
- \(8x-4=-7\)
- \(2x+5=-13\)
- \(-3x-12=-3\)
- \(-7x-8=-13\)
- \(8x+12=-13\)
- \(-13x-13=-9\)
- \(-10x+5=-3\)
- \(13x+12=-1\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 3x \color{red}{+12}& = &-2 \\\Leftrightarrow & 3x \color{red}{+12}\color{blue}{-12}
& = &-2\color{blue}{-12} \\\Leftrightarrow &3x
& = &-14\\\Leftrightarrow & \color{red}{3}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-14}{3} \\\Leftrightarrow & \color{green}{ x = \frac{-14}{3} } & & \\ & V = \left\{ \frac{-14}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+2}& = &-4 \\\Leftrightarrow & 7x \color{red}{+2}\color{blue}{-2}
& = &-4\color{blue}{-2} \\\Leftrightarrow &7x
& = &-6\\\Leftrightarrow & \color{red}{7}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-6}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{7} } & & \\ & V = \left\{ \frac{-6}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+6}& = &-15 \\\Leftrightarrow & 3x \color{red}{+6}\color{blue}{-6}
& = &-15\color{blue}{-6} \\\Leftrightarrow &3x
& = &-21\\\Leftrightarrow & \color{red}{3}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-21}{3} \\\Leftrightarrow & \color{green}{ x = -7 } & & \\ & V = \left\{ -7 \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-3}& = &14 \\\Leftrightarrow & 13x \color{red}{-3}\color{blue}{+3}
& = &14\color{blue}{+3} \\\Leftrightarrow &13x
& = &17\\\Leftrightarrow & \color{red}{13}x
& = &17\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{17}{13} \\\Leftrightarrow & \color{green}{ x = \frac{17}{13} } & & \\ & V = \left\{ \frac{17}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{-4}& = &-7 \\\Leftrightarrow & 8x \color{red}{-4}\color{blue}{+4}
& = &-7\color{blue}{+4} \\\Leftrightarrow &8x
& = &-3\\\Leftrightarrow & \color{red}{8}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-3}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{8} } & & \\ & V = \left\{ \frac{-3}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+5}& = &-13 \\\Leftrightarrow & 2x \color{red}{+5}\color{blue}{-5}
& = &-13\color{blue}{-5} \\\Leftrightarrow &2x
& = &-18\\\Leftrightarrow & \color{red}{2}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-18}{2} \\\Leftrightarrow & \color{green}{ x = -9 } & & \\ & V = \left\{ -9 \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-12}& = &-3 \\\Leftrightarrow & -3x \color{red}{-12}\color{blue}{+12}
& = &-3\color{blue}{+12} \\\Leftrightarrow &-3x
& = &9\\\Leftrightarrow & \color{red}{-3}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{9}{-3} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-8}& = &-13 \\\Leftrightarrow & -7x \color{red}{-8}\color{blue}{+8}
& = &-13\color{blue}{+8} \\\Leftrightarrow &-7x
& = &-5\\\Leftrightarrow & \color{red}{-7}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-5}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{5}{7} } & & \\ & V = \left\{ \frac{5}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+12}& = &-13 \\\Leftrightarrow & 8x \color{red}{+12}\color{blue}{-12}
& = &-13\color{blue}{-12} \\\Leftrightarrow &8x
& = &-25\\\Leftrightarrow & \color{red}{8}x
& = &-25\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-25}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{8} } & & \\ & V = \left\{ \frac{-25}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-13}& = &-9 \\\Leftrightarrow & -13x \color{red}{-13}\color{blue}{+13}
& = &-9\color{blue}{+13} \\\Leftrightarrow &-13x
& = &4\\\Leftrightarrow & \color{red}{-13}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{4}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{13} } & & \\ & V = \left\{ \frac{-4}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+5}& = &-3 \\\Leftrightarrow & -10x \color{red}{+5}\color{blue}{-5}
& = &-3\color{blue}{-5} \\\Leftrightarrow &-10x
& = &-8\\\Leftrightarrow & \color{red}{-10}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-8}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{4}{5} } & & \\ & V = \left\{ \frac{4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+12}& = &-1 \\\Leftrightarrow & 13x \color{red}{+12}\color{blue}{-12}
& = &-1\color{blue}{-12} \\\Leftrightarrow &13x
& = &-13\\\Leftrightarrow & \color{red}{13}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-13}{13} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)