Bepaal de waarde van x.
- \(-14x+8=15\)
- \(-3x-1=-10\)
- \(2x-1=-12\)
- \(11x+10=12\)
- \(4x-3=8\)
- \(13x-15=-10\)
- \(-x-6=13\)
- \(-5x-14=10\)
- \(-15x+7=-6\)
- \(14x+10=-12\)
- \(15x-4=10\)
- \(5x-3=7\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -14x \color{red}{+8}& = &15 \\\Leftrightarrow & -14x \color{red}{+8}\color{blue}{-8}
& = &15\color{blue}{-8} \\\Leftrightarrow &-14x
& = &7\\\Leftrightarrow & \color{red}{-14}x
& = &7\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{7}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{2} } & & \\ & V = \left\{ \frac{-1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{-1}& = &-10 \\\Leftrightarrow & -3x \color{red}{-1}\color{blue}{+1}
& = &-10\color{blue}{+1} \\\Leftrightarrow &-3x
& = &-9\\\Leftrightarrow & \color{red}{-3}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-9}{-3} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-1}& = &-12 \\\Leftrightarrow & 2x \color{red}{-1}\color{blue}{+1}
& = &-12\color{blue}{+1} \\\Leftrightarrow &2x
& = &-11\\\Leftrightarrow & \color{red}{2}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-11}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{2} } & & \\ & V = \left\{ \frac{-11}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{+10}& = &12 \\\Leftrightarrow & 11x \color{red}{+10}\color{blue}{-10}
& = &12\color{blue}{-10} \\\Leftrightarrow &11x
& = &2\\\Leftrightarrow & \color{red}{11}x
& = &2\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{2}{11} \\\Leftrightarrow & \color{green}{ x = \frac{2}{11} } & & \\ & V = \left\{ \frac{2}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-3}& = &8 \\\Leftrightarrow & 4x \color{red}{-3}\color{blue}{+3}
& = &8\color{blue}{+3} \\\Leftrightarrow &4x
& = &11\\\Leftrightarrow & \color{red}{4}x
& = &11\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{11}{4} \\\Leftrightarrow & \color{green}{ x = \frac{11}{4} } & & \\ & V = \left\{ \frac{11}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-15}& = &-10 \\\Leftrightarrow & 13x \color{red}{-15}\color{blue}{+15}
& = &-10\color{blue}{+15} \\\Leftrightarrow &13x
& = &5\\\Leftrightarrow & \color{red}{13}x
& = &5\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{5}{13} \\\Leftrightarrow & \color{green}{ x = \frac{5}{13} } & & \\ & V = \left\{ \frac{5}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-6}& = &13 \\\Leftrightarrow & -x \color{red}{-6}\color{blue}{+6}
& = &13\color{blue}{+6} \\\Leftrightarrow &-x
& = &19\\\Leftrightarrow & \color{red}{-}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{19}{-1} \\\Leftrightarrow & \color{green}{ x = -19 } & & \\ & V = \left\{ -19 \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-14}& = &10 \\\Leftrightarrow & -5x \color{red}{-14}\color{blue}{+14}
& = &10\color{blue}{+14} \\\Leftrightarrow &-5x
& = &24\\\Leftrightarrow & \color{red}{-5}x
& = &24\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{24}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-24}{5} } & & \\ & V = \left\{ \frac{-24}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+7}& = &-6 \\\Leftrightarrow & -15x \color{red}{+7}\color{blue}{-7}
& = &-6\color{blue}{-7} \\\Leftrightarrow &-15x
& = &-13\\\Leftrightarrow & \color{red}{-15}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-13}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{13}{15} } & & \\ & V = \left\{ \frac{13}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+10}& = &-12 \\\Leftrightarrow & 14x \color{red}{+10}\color{blue}{-10}
& = &-12\color{blue}{-10} \\\Leftrightarrow &14x
& = &-22\\\Leftrightarrow & \color{red}{14}x
& = &-22\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-22}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{7} } & & \\ & V = \left\{ \frac{-11}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-4}& = &10 \\\Leftrightarrow & 15x \color{red}{-4}\color{blue}{+4}
& = &10\color{blue}{+4} \\\Leftrightarrow &15x
& = &14\\\Leftrightarrow & \color{red}{15}x
& = &14\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{14}{15} \\\Leftrightarrow & \color{green}{ x = \frac{14}{15} } & & \\ & V = \left\{ \frac{14}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{-3}& = &7 \\\Leftrightarrow & 5x \color{red}{-3}\color{blue}{+3}
& = &7\color{blue}{+3} \\\Leftrightarrow &5x
& = &10\\\Leftrightarrow & \color{red}{5}x
& = &10\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{10}{5} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)