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