Bepaal de waarde van x.
- \(12x-12=-13\)
- \(-5x-1=9\)
- \(-14x-13=9\)
- \(9x+8=9\)
- \(5x+1=-14\)
- \(-13x-2=-10\)
- \(x-10=5\)
- \(2x+9=2\)
- \(-7x+15=1\)
- \(-12x+4=-11\)
- \(7x-11=-1\)
- \(-11x-11=10\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 12x \color{red}{-12}& = &-13 \\\Leftrightarrow & 12x \color{red}{-12}\color{blue}{+12}
& = &-13\color{blue}{+12} \\\Leftrightarrow &12x
& = &-1\\\Leftrightarrow & \color{red}{12}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-1}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{12} } & & \\ & V = \left\{ \frac{-1}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-1}& = &9 \\\Leftrightarrow & -5x \color{red}{-1}\color{blue}{+1}
& = &9\color{blue}{+1} \\\Leftrightarrow &-5x
& = &10\\\Leftrightarrow & \color{red}{-5}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{10}{-5} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-13}& = &9 \\\Leftrightarrow & -14x \color{red}{-13}\color{blue}{+13}
& = &9\color{blue}{+13} \\\Leftrightarrow &-14x
& = &22\\\Leftrightarrow & \color{red}{-14}x
& = &22\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{22}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{7} } & & \\ & V = \left\{ \frac{-11}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+8}& = &9 \\\Leftrightarrow & 9x \color{red}{+8}\color{blue}{-8}
& = &9\color{blue}{-8} \\\Leftrightarrow &9x
& = &1\\\Leftrightarrow & \color{red}{9}x
& = &1\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{1}{9} \\\Leftrightarrow & \color{green}{ x = \frac{1}{9} } & & \\ & V = \left\{ \frac{1}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+1}& = &-14 \\\Leftrightarrow & 5x \color{red}{+1}\color{blue}{-1}
& = &-14\color{blue}{-1} \\\Leftrightarrow &5x
& = &-15\\\Leftrightarrow & \color{red}{5}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-15}{5} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-2}& = &-10 \\\Leftrightarrow & -13x \color{red}{-2}\color{blue}{+2}
& = &-10\color{blue}{+2} \\\Leftrightarrow &-13x
& = &-8\\\Leftrightarrow & \color{red}{-13}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-8}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{8}{13} } & & \\ & V = \left\{ \frac{8}{13} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-10}& = &5 \\\Leftrightarrow & x \color{red}{-10}\color{blue}{+10}
& = &5\color{blue}{+10} \\\Leftrightarrow &x
& = &15\\\Leftrightarrow & \color{red}{}x
& = &15\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 15 \\\Leftrightarrow & \color{green}{ x = 15 } & & \\ & V = \left\{ 15 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+9}& = &2 \\\Leftrightarrow & 2x \color{red}{+9}\color{blue}{-9}
& = &2\color{blue}{-9} \\\Leftrightarrow &2x
& = &-7\\\Leftrightarrow & \color{red}{2}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-7}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{2} } & & \\ & V = \left\{ \frac{-7}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+15}& = &1 \\\Leftrightarrow & -7x \color{red}{+15}\color{blue}{-15}
& = &1\color{blue}{-15} \\\Leftrightarrow &-7x
& = &-14\\\Leftrightarrow & \color{red}{-7}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-14}{-7} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+4}& = &-11 \\\Leftrightarrow & -12x \color{red}{+4}\color{blue}{-4}
& = &-11\color{blue}{-4} \\\Leftrightarrow &-12x
& = &-15\\\Leftrightarrow & \color{red}{-12}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-15}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{4} } & & \\ & V = \left\{ \frac{5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-11}& = &-1 \\\Leftrightarrow & 7x \color{red}{-11}\color{blue}{+11}
& = &-1\color{blue}{+11} \\\Leftrightarrow &7x
& = &10\\\Leftrightarrow & \color{red}{7}x
& = &10\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{10}{7} \\\Leftrightarrow & \color{green}{ x = \frac{10}{7} } & & \\ & V = \left\{ \frac{10}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{-11}& = &10 \\\Leftrightarrow & -11x \color{red}{-11}\color{blue}{+11}
& = &10\color{blue}{+11} \\\Leftrightarrow &-11x
& = &21\\\Leftrightarrow & \color{red}{-11}x
& = &21\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{21}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-21}{11} } & & \\ & V = \left\{ \frac{-21}{11} \right\} & \\\end{align}\)