Bepaal de waarde van x.
- \(-3x+6=5\)
- \(-9x-3=-12\)
- \(-9x+9=15\)
- \(-3x+4=-1\)
- \(-3x+14=13\)
- \(-13x+12=15\)
- \(-2x+3=12\)
- \(7x+5=-15\)
- \(-13x-15=-4\)
- \(-12x+15=12\)
- \(-5x+4=7\)
- \(-15x+13=13\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -3x \color{red}{+6}& = &5 \\\Leftrightarrow & -3x \color{red}{+6}\color{blue}{-6}
& = &5\color{blue}{-6} \\\Leftrightarrow &-3x
& = &-1\\\Leftrightarrow & \color{red}{-3}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-1}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-3}& = &-12 \\\Leftrightarrow & -9x \color{red}{-3}\color{blue}{+3}
& = &-12\color{blue}{+3} \\\Leftrightarrow &-9x
& = &-9\\\Leftrightarrow & \color{red}{-9}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{-9}{-9} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+9}& = &15 \\\Leftrightarrow & -9x \color{red}{+9}\color{blue}{-9}
& = &15\color{blue}{-9} \\\Leftrightarrow &-9x
& = &6\\\Leftrightarrow & \color{red}{-9}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{6}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{3} } & & \\ & V = \left\{ \frac{-2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+4}& = &-1 \\\Leftrightarrow & -3x \color{red}{+4}\color{blue}{-4}
& = &-1\color{blue}{-4} \\\Leftrightarrow &-3x
& = &-5\\\Leftrightarrow & \color{red}{-3}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-5}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{5}{3} } & & \\ & V = \left\{ \frac{5}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+14}& = &13 \\\Leftrightarrow & -3x \color{red}{+14}\color{blue}{-14}
& = &13\color{blue}{-14} \\\Leftrightarrow &-3x
& = &-1\\\Leftrightarrow & \color{red}{-3}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-1}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+12}& = &15 \\\Leftrightarrow & -13x \color{red}{+12}\color{blue}{-12}
& = &15\color{blue}{-12} \\\Leftrightarrow &-13x
& = &3\\\Leftrightarrow & \color{red}{-13}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{3}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{13} } & & \\ & V = \left\{ \frac{-3}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+3}& = &12 \\\Leftrightarrow & -2x \color{red}{+3}\color{blue}{-3}
& = &12\color{blue}{-3} \\\Leftrightarrow &-2x
& = &9\\\Leftrightarrow & \color{red}{-2}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{9}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{2} } & & \\ & V = \left\{ \frac{-9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+5}& = &-15 \\\Leftrightarrow & 7x \color{red}{+5}\color{blue}{-5}
& = &-15\color{blue}{-5} \\\Leftrightarrow &7x
& = &-20\\\Leftrightarrow & \color{red}{7}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-20}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-20}{7} } & & \\ & V = \left\{ \frac{-20}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-15}& = &-4 \\\Leftrightarrow & -13x \color{red}{-15}\color{blue}{+15}
& = &-4\color{blue}{+15} \\\Leftrightarrow &-13x
& = &11\\\Leftrightarrow & \color{red}{-13}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{11}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{13} } & & \\ & V = \left\{ \frac{-11}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+15}& = &12 \\\Leftrightarrow & -12x \color{red}{+15}\color{blue}{-15}
& = &12\color{blue}{-15} \\\Leftrightarrow &-12x
& = &-3\\\Leftrightarrow & \color{red}{-12}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-3}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{4} } & & \\ & V = \left\{ \frac{1}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+4}& = &7 \\\Leftrightarrow & -5x \color{red}{+4}\color{blue}{-4}
& = &7\color{blue}{-4} \\\Leftrightarrow &-5x
& = &3\\\Leftrightarrow & \color{red}{-5}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{3}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{5} } & & \\ & V = \left\{ \frac{-3}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+13}& = &13 \\\Leftrightarrow & -15x \color{red}{+13}\color{blue}{-13}
& = &13\color{blue}{-13} \\\Leftrightarrow &-15x
& = &0\\\Leftrightarrow & \color{red}{-15}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{0}{-15} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)