Bepaal de waarde van x.
- \(12x+11=-5\)
- \(-12x-2=-12\)
- \(-5x+11=5\)
- \(7x+3=5\)
- \(x+14=5\)
- \(-6x-12=15\)
- \(7x-11=-2\)
- \(-10x+10=6\)
- \(3x+13=5\)
- \(3x-4=11\)
- \(-6x+1=-2\)
- \(x+3=9\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 12x \color{red}{+11}& = &-5 \\\Leftrightarrow & 12x \color{red}{+11}\color{blue}{-11}
& = &-5\color{blue}{-11} \\\Leftrightarrow &12x
& = &-16\\\Leftrightarrow & \color{red}{12}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-16}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{3} } & & \\ & V = \left\{ \frac{-4}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-2}& = &-12 \\\Leftrightarrow & -12x \color{red}{-2}\color{blue}{+2}
& = &-12\color{blue}{+2} \\\Leftrightarrow &-12x
& = &-10\\\Leftrightarrow & \color{red}{-12}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-10}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+11}& = &5 \\\Leftrightarrow & -5x \color{red}{+11}\color{blue}{-11}
& = &5\color{blue}{-11} \\\Leftrightarrow &-5x
& = &-6\\\Leftrightarrow & \color{red}{-5}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-6}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{6}{5} } & & \\ & V = \left\{ \frac{6}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+3}& = &5 \\\Leftrightarrow & 7x \color{red}{+3}\color{blue}{-3}
& = &5\color{blue}{-3} \\\Leftrightarrow &7x
& = &2\\\Leftrightarrow & \color{red}{7}x
& = &2\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{2}{7} \\\Leftrightarrow & \color{green}{ x = \frac{2}{7} } & & \\ & V = \left\{ \frac{2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+14}& = &5 \\\Leftrightarrow & x \color{red}{+14}\color{blue}{-14}
& = &5\color{blue}{-14} \\\Leftrightarrow &x
& = &-9\\\Leftrightarrow & \color{red}{}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -9 \\\Leftrightarrow & \color{green}{ x = -9 } & & \\ & V = \left\{ -9 \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-12}& = &15 \\\Leftrightarrow & -6x \color{red}{-12}\color{blue}{+12}
& = &15\color{blue}{+12} \\\Leftrightarrow &-6x
& = &27\\\Leftrightarrow & \color{red}{-6}x
& = &27\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{27}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{2} } & & \\ & V = \left\{ \frac{-9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-11}& = &-2 \\\Leftrightarrow & 7x \color{red}{-11}\color{blue}{+11}
& = &-2\color{blue}{+11} \\\Leftrightarrow &7x
& = &9\\\Leftrightarrow & \color{red}{7}x
& = &9\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{9}{7} \\\Leftrightarrow & \color{green}{ x = \frac{9}{7} } & & \\ & V = \left\{ \frac{9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+10}& = &6 \\\Leftrightarrow & -10x \color{red}{+10}\color{blue}{-10}
& = &6\color{blue}{-10} \\\Leftrightarrow &-10x
& = &-4\\\Leftrightarrow & \color{red}{-10}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-4}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{2}{5} } & & \\ & V = \left\{ \frac{2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+13}& = &5 \\\Leftrightarrow & 3x \color{red}{+13}\color{blue}{-13}
& = &5\color{blue}{-13} \\\Leftrightarrow &3x
& = &-8\\\Leftrightarrow & \color{red}{3}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-8}{3} \\\Leftrightarrow & \color{green}{ x = \frac{-8}{3} } & & \\ & V = \left\{ \frac{-8}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-4}& = &11 \\\Leftrightarrow & 3x \color{red}{-4}\color{blue}{+4}
& = &11\color{blue}{+4} \\\Leftrightarrow &3x
& = &15\\\Leftrightarrow & \color{red}{3}x
& = &15\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{15}{3} \\\Leftrightarrow & \color{green}{ x = 5 } & & \\ & V = \left\{ 5 \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+1}& = &-2 \\\Leftrightarrow & -6x \color{red}{+1}\color{blue}{-1}
& = &-2\color{blue}{-1} \\\Leftrightarrow &-6x
& = &-3\\\Leftrightarrow & \color{red}{-6}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-3}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+3}& = &9 \\\Leftrightarrow & x \color{red}{+3}\color{blue}{-3}
& = &9\color{blue}{-3} \\\Leftrightarrow &x
& = &6\\\Leftrightarrow & \color{red}{}x
& = &6\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 6 \\\Leftrightarrow & \color{green}{ x = 6 } & & \\ & V = \left\{ 6 \right\} & \\\end{align}\)