Bepaal de waarde van x.
- \(-3x-6=15\)
- \(-8x+11=6\)
- \(4x+3=-2\)
- \(-4x-11=-13\)
- \(-7x+11=9\)
- \(2x+1=7\)
- \(5x+11=8\)
- \(15x+2=9\)
- \(9x-5=12\)
- \(9x+12=15\)
- \(-12x+13=6\)
- \(5x-2=-11\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -3x \color{red}{-6}& = &15 \\\Leftrightarrow & -3x \color{red}{-6}\color{blue}{+6}
& = &15\color{blue}{+6} \\\Leftrightarrow &-3x
& = &21\\\Leftrightarrow & \color{red}{-3}x
& = &21\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{21}{-3} \\\Leftrightarrow & \color{green}{ x = -7 } & & \\ & V = \left\{ -7 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+11}& = &6 \\\Leftrightarrow & -8x \color{red}{+11}\color{blue}{-11}
& = &6\color{blue}{-11} \\\Leftrightarrow &-8x
& = &-5\\\Leftrightarrow & \color{red}{-8}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-5}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{5}{8} } & & \\ & V = \left\{ \frac{5}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+3}& = &-2 \\\Leftrightarrow & 4x \color{red}{+3}\color{blue}{-3}
& = &-2\color{blue}{-3} \\\Leftrightarrow &4x
& = &-5\\\Leftrightarrow & \color{red}{4}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-5}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{4} } & & \\ & V = \left\{ \frac{-5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-11}& = &-13 \\\Leftrightarrow & -4x \color{red}{-11}\color{blue}{+11}
& = &-13\color{blue}{+11} \\\Leftrightarrow &-4x
& = &-2\\\Leftrightarrow & \color{red}{-4}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-2}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+11}& = &9 \\\Leftrightarrow & -7x \color{red}{+11}\color{blue}{-11}
& = &9\color{blue}{-11} \\\Leftrightarrow &-7x
& = &-2\\\Leftrightarrow & \color{red}{-7}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-2}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{2}{7} } & & \\ & V = \left\{ \frac{2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+1}& = &7 \\\Leftrightarrow & 2x \color{red}{+1}\color{blue}{-1}
& = &7\color{blue}{-1} \\\Leftrightarrow &2x
& = &6\\\Leftrightarrow & \color{red}{2}x
& = &6\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{6}{2} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+11}& = &8 \\\Leftrightarrow & 5x \color{red}{+11}\color{blue}{-11}
& = &8\color{blue}{-11} \\\Leftrightarrow &5x
& = &-3\\\Leftrightarrow & \color{red}{5}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-3}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{5} } & & \\ & V = \left\{ \frac{-3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+2}& = &9 \\\Leftrightarrow & 15x \color{red}{+2}\color{blue}{-2}
& = &9\color{blue}{-2} \\\Leftrightarrow &15x
& = &7\\\Leftrightarrow & \color{red}{15}x
& = &7\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{7}{15} \\\Leftrightarrow & \color{green}{ x = \frac{7}{15} } & & \\ & V = \left\{ \frac{7}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{-5}& = &12 \\\Leftrightarrow & 9x \color{red}{-5}\color{blue}{+5}
& = &12\color{blue}{+5} \\\Leftrightarrow &9x
& = &17\\\Leftrightarrow & \color{red}{9}x
& = &17\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{17}{9} \\\Leftrightarrow & \color{green}{ x = \frac{17}{9} } & & \\ & V = \left\{ \frac{17}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+12}& = &15 \\\Leftrightarrow & 9x \color{red}{+12}\color{blue}{-12}
& = &15\color{blue}{-12} \\\Leftrightarrow &9x
& = &3\\\Leftrightarrow & \color{red}{9}x
& = &3\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{3}{9} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+13}& = &6 \\\Leftrightarrow & -12x \color{red}{+13}\color{blue}{-13}
& = &6\color{blue}{-13} \\\Leftrightarrow &-12x
& = &-7\\\Leftrightarrow & \color{red}{-12}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-7}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{7}{12} } & & \\ & V = \left\{ \frac{7}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-2}& = &-11 \\\Leftrightarrow & 5x \color{red}{-2}\color{blue}{+2}
& = &-11\color{blue}{+2} \\\Leftrightarrow &5x
& = &-9\\\Leftrightarrow & \color{red}{5}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-9}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{5} } & & \\ & V = \left\{ \frac{-9}{5} \right\} & \\\end{align}\)