Bepaal de waarde van x.
- \(7x-4=15\)
- \(12x-4=1\)
- \(-15x-11=14\)
- \(-15x+2=3\)
- \(-15x-5=9\)
- \(-11x+10=7\)
- \(12x+4=-11\)
- \(-14x+1=-10\)
- \(-10x-8=7\)
- \(-14x-13=-5\)
- \(14x+8=10\)
- \(-x+4=-15\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 7x \color{red}{-4}& = &15 \\\Leftrightarrow & 7x \color{red}{-4}\color{blue}{+4}
& = &15\color{blue}{+4} \\\Leftrightarrow &7x
& = &19\\\Leftrightarrow & \color{red}{7}x
& = &19\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{19}{7} \\\Leftrightarrow & \color{green}{ x = \frac{19}{7} } & & \\ & V = \left\{ \frac{19}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-4}& = &1 \\\Leftrightarrow & 12x \color{red}{-4}\color{blue}{+4}
& = &1\color{blue}{+4} \\\Leftrightarrow &12x
& = &5\\\Leftrightarrow & \color{red}{12}x
& = &5\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{5}{12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{12} } & & \\ & V = \left\{ \frac{5}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-11}& = &14 \\\Leftrightarrow & -15x \color{red}{-11}\color{blue}{+11}
& = &14\color{blue}{+11} \\\Leftrightarrow &-15x
& = &25\\\Leftrightarrow & \color{red}{-15}x
& = &25\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{25}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{3} } & & \\ & V = \left\{ \frac{-5}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+2}& = &3 \\\Leftrightarrow & -15x \color{red}{+2}\color{blue}{-2}
& = &3\color{blue}{-2} \\\Leftrightarrow &-15x
& = &1\\\Leftrightarrow & \color{red}{-15}x
& = &1\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{1}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{15} } & & \\ & V = \left\{ \frac{-1}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-5}& = &9 \\\Leftrightarrow & -15x \color{red}{-5}\color{blue}{+5}
& = &9\color{blue}{+5} \\\Leftrightarrow &-15x
& = &14\\\Leftrightarrow & \color{red}{-15}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{14}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-14}{15} } & & \\ & V = \left\{ \frac{-14}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+10}& = &7 \\\Leftrightarrow & -11x \color{red}{+10}\color{blue}{-10}
& = &7\color{blue}{-10} \\\Leftrightarrow &-11x
& = &-3\\\Leftrightarrow & \color{red}{-11}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-3}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{3}{11} } & & \\ & V = \left\{ \frac{3}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+4}& = &-11 \\\Leftrightarrow & 12x \color{red}{+4}\color{blue}{-4}
& = &-11\color{blue}{-4} \\\Leftrightarrow &12x
& = &-15\\\Leftrightarrow & \color{red}{12}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-15}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{4} } & & \\ & V = \left\{ \frac{-5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{+1}& = &-10 \\\Leftrightarrow & -14x \color{red}{+1}\color{blue}{-1}
& = &-10\color{blue}{-1} \\\Leftrightarrow &-14x
& = &-11\\\Leftrightarrow & \color{red}{-14}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-11}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{11}{14} } & & \\ & V = \left\{ \frac{11}{14} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-8}& = &7 \\\Leftrightarrow & -10x \color{red}{-8}\color{blue}{+8}
& = &7\color{blue}{+8} \\\Leftrightarrow &-10x
& = &15\\\Leftrightarrow & \color{red}{-10}x
& = &15\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{15}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-13}& = &-5 \\\Leftrightarrow & -14x \color{red}{-13}\color{blue}{+13}
& = &-5\color{blue}{+13} \\\Leftrightarrow &-14x
& = &8\\\Leftrightarrow & \color{red}{-14}x
& = &8\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{8}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{7} } & & \\ & V = \left\{ \frac{-4}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+8}& = &10 \\\Leftrightarrow & 14x \color{red}{+8}\color{blue}{-8}
& = &10\color{blue}{-8} \\\Leftrightarrow &14x
& = &2\\\Leftrightarrow & \color{red}{14}x
& = &2\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{2}{14} \\\Leftrightarrow & \color{green}{ x = \frac{1}{7} } & & \\ & V = \left\{ \frac{1}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+4}& = &-15 \\\Leftrightarrow & -x \color{red}{+4}\color{blue}{-4}
& = &-15\color{blue}{-4} \\\Leftrightarrow &-x
& = &-19\\\Leftrightarrow & \color{red}{-}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-19}{-1} \\\Leftrightarrow & \color{green}{ x = 19 } & & \\ & V = \left\{ 19 \right\} & \\\end{align}\)