Bepaal de waarde van x.
- \(-5x+10=-8\)
- \(14x-15=-8\)
- \(-10x+12=-9\)
- \(13x+1=14\)
- \(10x+3=15\)
- \(14x-12=-8\)
- \(-4x-13=-1\)
- \(-6x-15=11\)
- \(-6x-2=7\)
- \(-6x+2=-10\)
- \(14x-14=-8\)
- \(5x+14=-5\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -5x \color{red}{+10}& = &-8 \\\Leftrightarrow & -5x \color{red}{+10}\color{blue}{-10}
& = &-8\color{blue}{-10} \\\Leftrightarrow &-5x
& = &-18\\\Leftrightarrow & \color{red}{-5}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-18}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{18}{5} } & & \\ & V = \left\{ \frac{18}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-15}& = &-8 \\\Leftrightarrow & 14x \color{red}{-15}\color{blue}{+15}
& = &-8\color{blue}{+15} \\\Leftrightarrow &14x
& = &7\\\Leftrightarrow & \color{red}{14}x
& = &7\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{7}{14} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+12}& = &-9 \\\Leftrightarrow & -10x \color{red}{+12}\color{blue}{-12}
& = &-9\color{blue}{-12} \\\Leftrightarrow &-10x
& = &-21\\\Leftrightarrow & \color{red}{-10}x
& = &-21\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-21}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{21}{10} } & & \\ & V = \left\{ \frac{21}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+1}& = &14 \\\Leftrightarrow & 13x \color{red}{+1}\color{blue}{-1}
& = &14\color{blue}{-1} \\\Leftrightarrow &13x
& = &13\\\Leftrightarrow & \color{red}{13}x
& = &13\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{13}{13} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+3}& = &15 \\\Leftrightarrow & 10x \color{red}{+3}\color{blue}{-3}
& = &15\color{blue}{-3} \\\Leftrightarrow &10x
& = &12\\\Leftrightarrow & \color{red}{10}x
& = &12\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{12}{10} \\\Leftrightarrow & \color{green}{ x = \frac{6}{5} } & & \\ & V = \left\{ \frac{6}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-12}& = &-8 \\\Leftrightarrow & 14x \color{red}{-12}\color{blue}{+12}
& = &-8\color{blue}{+12} \\\Leftrightarrow &14x
& = &4\\\Leftrightarrow & \color{red}{14}x
& = &4\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{4}{14} \\\Leftrightarrow & \color{green}{ x = \frac{2}{7} } & & \\ & V = \left\{ \frac{2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-13}& = &-1 \\\Leftrightarrow & -4x \color{red}{-13}\color{blue}{+13}
& = &-1\color{blue}{+13} \\\Leftrightarrow &-4x
& = &12\\\Leftrightarrow & \color{red}{-4}x
& = &12\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{12}{-4} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-15}& = &11 \\\Leftrightarrow & -6x \color{red}{-15}\color{blue}{+15}
& = &11\color{blue}{+15} \\\Leftrightarrow &-6x
& = &26\\\Leftrightarrow & \color{red}{-6}x
& = &26\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{26}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{3} } & & \\ & V = \left\{ \frac{-13}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-2}& = &7 \\\Leftrightarrow & -6x \color{red}{-2}\color{blue}{+2}
& = &7\color{blue}{+2} \\\Leftrightarrow &-6x
& = &9\\\Leftrightarrow & \color{red}{-6}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{9}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+2}& = &-10 \\\Leftrightarrow & -6x \color{red}{+2}\color{blue}{-2}
& = &-10\color{blue}{-2} \\\Leftrightarrow &-6x
& = &-12\\\Leftrightarrow & \color{red}{-6}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-12}{-6} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-14}& = &-8 \\\Leftrightarrow & 14x \color{red}{-14}\color{blue}{+14}
& = &-8\color{blue}{+14} \\\Leftrightarrow &14x
& = &6\\\Leftrightarrow & \color{red}{14}x
& = &6\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{6}{14} \\\Leftrightarrow & \color{green}{ x = \frac{3}{7} } & & \\ & V = \left\{ \frac{3}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+14}& = &-5 \\\Leftrightarrow & 5x \color{red}{+14}\color{blue}{-14}
& = &-5\color{blue}{-14} \\\Leftrightarrow &5x
& = &-19\\\Leftrightarrow & \color{red}{5}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-19}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{5} } & & \\ & V = \left\{ \frac{-19}{5} \right\} & \\\end{align}\)