Bepaal de waarde van x.
- \(10x+2=-1\)
- \(-2x-5=-10\)
- \(-4x+3=1\)
- \(15x-1=-5\)
- \(5x+13=-5\)
- \(-8x+15=-5\)
- \(9x-10=-10\)
- \(-14x-8=5\)
- \(6x+10=15\)
- \(-8x+1=-4\)
- \(9x+13=-12\)
- \(-2x-8=15\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 10x \color{red}{+2}& = &-1 \\\Leftrightarrow & 10x \color{red}{+2}\color{blue}{-2}
& = &-1\color{blue}{-2} \\\Leftrightarrow &10x
& = &-3\\\Leftrightarrow & \color{red}{10}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-3}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{10} } & & \\ & V = \left\{ \frac{-3}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-5}& = &-10 \\\Leftrightarrow & -2x \color{red}{-5}\color{blue}{+5}
& = &-10\color{blue}{+5} \\\Leftrightarrow &-2x
& = &-5\\\Leftrightarrow & \color{red}{-2}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-5}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{5}{2} } & & \\ & V = \left\{ \frac{5}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+3}& = &1 \\\Leftrightarrow & -4x \color{red}{+3}\color{blue}{-3}
& = &1\color{blue}{-3} \\\Leftrightarrow &-4x
& = &-2\\\Leftrightarrow & \color{red}{-4}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-2}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-1}& = &-5 \\\Leftrightarrow & 15x \color{red}{-1}\color{blue}{+1}
& = &-5\color{blue}{+1} \\\Leftrightarrow &15x
& = &-4\\\Leftrightarrow & \color{red}{15}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-4}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{15} } & & \\ & V = \left\{ \frac{-4}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+13}& = &-5 \\\Leftrightarrow & 5x \color{red}{+13}\color{blue}{-13}
& = &-5\color{blue}{-13} \\\Leftrightarrow &5x
& = &-18\\\Leftrightarrow & \color{red}{5}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-18}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-18}{5} } & & \\ & V = \left\{ \frac{-18}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+15}& = &-5 \\\Leftrightarrow & -8x \color{red}{+15}\color{blue}{-15}
& = &-5\color{blue}{-15} \\\Leftrightarrow &-8x
& = &-20\\\Leftrightarrow & \color{red}{-8}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-20}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{5}{2} } & & \\ & V = \left\{ \frac{5}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-10}& = &-10 \\\Leftrightarrow & 9x \color{red}{-10}\color{blue}{+10}
& = &-10\color{blue}{+10} \\\Leftrightarrow &9x
& = &0\\\Leftrightarrow & \color{red}{9}x
& = &0\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{0}{9} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-8}& = &5 \\\Leftrightarrow & -14x \color{red}{-8}\color{blue}{+8}
& = &5\color{blue}{+8} \\\Leftrightarrow &-14x
& = &13\\\Leftrightarrow & \color{red}{-14}x
& = &13\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{13}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{14} } & & \\ & V = \left\{ \frac{-13}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+10}& = &15 \\\Leftrightarrow & 6x \color{red}{+10}\color{blue}{-10}
& = &15\color{blue}{-10} \\\Leftrightarrow &6x
& = &5\\\Leftrightarrow & \color{red}{6}x
& = &5\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{5}{6} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+1}& = &-4 \\\Leftrightarrow & -8x \color{red}{+1}\color{blue}{-1}
& = &-4\color{blue}{-1} \\\Leftrightarrow &-8x
& = &-5\\\Leftrightarrow & \color{red}{-8}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-5}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{5}{8} } & & \\ & V = \left\{ \frac{5}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+13}& = &-12 \\\Leftrightarrow & 9x \color{red}{+13}\color{blue}{-13}
& = &-12\color{blue}{-13} \\\Leftrightarrow &9x
& = &-25\\\Leftrightarrow & \color{red}{9}x
& = &-25\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-25}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{9} } & & \\ & V = \left\{ \frac{-25}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-8}& = &15 \\\Leftrightarrow & -2x \color{red}{-8}\color{blue}{+8}
& = &15\color{blue}{+8} \\\Leftrightarrow &-2x
& = &23\\\Leftrightarrow & \color{red}{-2}x
& = &23\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{23}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{2} } & & \\ & V = \left\{ \frac{-23}{2} \right\} & \\\end{align}\)