Bepaal de waarde van x.
- \(-11x-8=-2\)
- \(-2x+13=-15\)
- \(14x-11=-10\)
- \(-6x+13=8\)
- \(x-13=7\)
- \(-5x+1=15\)
- \(2x-3=-10\)
- \(9x+2=3\)
- \(15x-11=-10\)
- \(4x+15=-1\)
- \(15x-8=4\)
- \(x-3=14\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -11x \color{red}{-8}& = &-2 \\\Leftrightarrow & -11x \color{red}{-8}\color{blue}{+8}
& = &-2\color{blue}{+8} \\\Leftrightarrow &-11x
& = &6\\\Leftrightarrow & \color{red}{-11}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{6}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{11} } & & \\ & V = \left\{ \frac{-6}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+13}& = &-15 \\\Leftrightarrow & -2x \color{red}{+13}\color{blue}{-13}
& = &-15\color{blue}{-13} \\\Leftrightarrow &-2x
& = &-28\\\Leftrightarrow & \color{red}{-2}x
& = &-28\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-28}{-2} \\\Leftrightarrow & \color{green}{ x = 14 } & & \\ & V = \left\{ 14 \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-11}& = &-10 \\\Leftrightarrow & 14x \color{red}{-11}\color{blue}{+11}
& = &-10\color{blue}{+11} \\\Leftrightarrow &14x
& = &1\\\Leftrightarrow & \color{red}{14}x
& = &1\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{1}{14} \\\Leftrightarrow & \color{green}{ x = \frac{1}{14} } & & \\ & V = \left\{ \frac{1}{14} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+13}& = &8 \\\Leftrightarrow & -6x \color{red}{+13}\color{blue}{-13}
& = &8\color{blue}{-13} \\\Leftrightarrow &-6x
& = &-5\\\Leftrightarrow & \color{red}{-6}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-5}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-13}& = &7 \\\Leftrightarrow & x \color{red}{-13}\color{blue}{+13}
& = &7\color{blue}{+13} \\\Leftrightarrow &x
& = &20\\\Leftrightarrow & \color{red}{}x
& = &20\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 20 \\\Leftrightarrow & \color{green}{ x = 20 } & & \\ & V = \left\{ 20 \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+1}& = &15 \\\Leftrightarrow & -5x \color{red}{+1}\color{blue}{-1}
& = &15\color{blue}{-1} \\\Leftrightarrow &-5x
& = &14\\\Leftrightarrow & \color{red}{-5}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{14}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-14}{5} } & & \\ & V = \left\{ \frac{-14}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-3}& = &-10 \\\Leftrightarrow & 2x \color{red}{-3}\color{blue}{+3}
& = &-10\color{blue}{+3} \\\Leftrightarrow &2x
& = &-7\\\Leftrightarrow & \color{red}{2}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-7}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{2} } & & \\ & V = \left\{ \frac{-7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+2}& = &3 \\\Leftrightarrow & 9x \color{red}{+2}\color{blue}{-2}
& = &3\color{blue}{-2} \\\Leftrightarrow &9x
& = &1\\\Leftrightarrow & \color{red}{9}x
& = &1\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{1}{9} \\\Leftrightarrow & \color{green}{ x = \frac{1}{9} } & & \\ & V = \left\{ \frac{1}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-11}& = &-10 \\\Leftrightarrow & 15x \color{red}{-11}\color{blue}{+11}
& = &-10\color{blue}{+11} \\\Leftrightarrow &15x
& = &1\\\Leftrightarrow & \color{red}{15}x
& = &1\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{1}{15} \\\Leftrightarrow & \color{green}{ x = \frac{1}{15} } & & \\ & V = \left\{ \frac{1}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+15}& = &-1 \\\Leftrightarrow & 4x \color{red}{+15}\color{blue}{-15}
& = &-1\color{blue}{-15} \\\Leftrightarrow &4x
& = &-16\\\Leftrightarrow & \color{red}{4}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-16}{4} \\\Leftrightarrow & \color{green}{ x = -4 } & & \\ & V = \left\{ -4 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-8}& = &4 \\\Leftrightarrow & 15x \color{red}{-8}\color{blue}{+8}
& = &4\color{blue}{+8} \\\Leftrightarrow &15x
& = &12\\\Leftrightarrow & \color{red}{15}x
& = &12\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{12}{15} \\\Leftrightarrow & \color{green}{ x = \frac{4}{5} } & & \\ & V = \left\{ \frac{4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-3}& = &14 \\\Leftrightarrow & x \color{red}{-3}\color{blue}{+3}
& = &14\color{blue}{+3} \\\Leftrightarrow &x
& = &17\\\Leftrightarrow & \color{red}{}x
& = &17\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 17 \\\Leftrightarrow & \color{green}{ x = 17 } & & \\ & V = \left\{ 17 \right\} & \\\end{align}\)