Bepaal de waarde van x.
- \(x-10=-6\)
- \(-4x+8=13\)
- \(5x+2=-10\)
- \(14x-9=-12\)
- \(-9x-12=1\)
- \(-6x-13=-8\)
- \(14x+6=-2\)
- \(-5x+13=1\)
- \(4x-8=14\)
- \(-4x+12=-10\)
- \(x-4=-7\)
- \(-3x-2=-10\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & x \color{red}{-10}& = &-6 \\\Leftrightarrow & x \color{red}{-10}\color{blue}{+10}
& = &-6\color{blue}{+10} \\\Leftrightarrow &x
& = &4\\\Leftrightarrow & \color{red}{}x
& = &4\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 4 \\\Leftrightarrow & \color{green}{ x = 4 } & & \\ & V = \left\{ 4 \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+8}& = &13 \\\Leftrightarrow & -4x \color{red}{+8}\color{blue}{-8}
& = &13\color{blue}{-8} \\\Leftrightarrow &-4x
& = &5\\\Leftrightarrow & \color{red}{-4}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{5}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{4} } & & \\ & V = \left\{ \frac{-5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+2}& = &-10 \\\Leftrightarrow & 5x \color{red}{+2}\color{blue}{-2}
& = &-10\color{blue}{-2} \\\Leftrightarrow &5x
& = &-12\\\Leftrightarrow & \color{red}{5}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-12}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-12}{5} } & & \\ & V = \left\{ \frac{-12}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-9}& = &-12 \\\Leftrightarrow & 14x \color{red}{-9}\color{blue}{+9}
& = &-12\color{blue}{+9} \\\Leftrightarrow &14x
& = &-3\\\Leftrightarrow & \color{red}{14}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-3}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{14} } & & \\ & V = \left\{ \frac{-3}{14} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-12}& = &1 \\\Leftrightarrow & -9x \color{red}{-12}\color{blue}{+12}
& = &1\color{blue}{+12} \\\Leftrightarrow &-9x
& = &13\\\Leftrightarrow & \color{red}{-9}x
& = &13\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{13}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{9} } & & \\ & V = \left\{ \frac{-13}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-13}& = &-8 \\\Leftrightarrow & -6x \color{red}{-13}\color{blue}{+13}
& = &-8\color{blue}{+13} \\\Leftrightarrow &-6x
& = &5\\\Leftrightarrow & \color{red}{-6}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{5}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{6} } & & \\ & V = \left\{ \frac{-5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+6}& = &-2 \\\Leftrightarrow & 14x \color{red}{+6}\color{blue}{-6}
& = &-2\color{blue}{-6} \\\Leftrightarrow &14x
& = &-8\\\Leftrightarrow & \color{red}{14}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-8}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{7} } & & \\ & V = \left\{ \frac{-4}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+13}& = &1 \\\Leftrightarrow & -5x \color{red}{+13}\color{blue}{-13}
& = &1\color{blue}{-13} \\\Leftrightarrow &-5x
& = &-12\\\Leftrightarrow & \color{red}{-5}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-12}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{12}{5} } & & \\ & V = \left\{ \frac{12}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-8}& = &14 \\\Leftrightarrow & 4x \color{red}{-8}\color{blue}{+8}
& = &14\color{blue}{+8} \\\Leftrightarrow &4x
& = &22\\\Leftrightarrow & \color{red}{4}x
& = &22\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{22}{4} \\\Leftrightarrow & \color{green}{ x = \frac{11}{2} } & & \\ & V = \left\{ \frac{11}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+12}& = &-10 \\\Leftrightarrow & -4x \color{red}{+12}\color{blue}{-12}
& = &-10\color{blue}{-12} \\\Leftrightarrow &-4x
& = &-22\\\Leftrightarrow & \color{red}{-4}x
& = &-22\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-22}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{11}{2} } & & \\ & V = \left\{ \frac{11}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-4}& = &-7 \\\Leftrightarrow & x \color{red}{-4}\color{blue}{+4}
& = &-7\color{blue}{+4} \\\Leftrightarrow &x
& = &-3\\\Leftrightarrow & \color{red}{}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -3 \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-2}& = &-10 \\\Leftrightarrow & -3x \color{red}{-2}\color{blue}{+2}
& = &-10\color{blue}{+2} \\\Leftrightarrow &-3x
& = &-8\\\Leftrightarrow & \color{red}{-3}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-8}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{8}{3} } & & \\ & V = \left\{ \frac{8}{3} \right\} & \\\end{align}\)