Bepaal de waarde van x.
- \(6x-15=3\)
- \(-12x+14=4\)
- \(4x+8=-1\)
- \(-2x+4=-14\)
- \(12x+11=-14\)
- \(4x+12=-11\)
- \(-6x+9=-3\)
- \(-7x+1=-5\)
- \(-x+1=-8\)
- \(-7x+6=-3\)
- \(-13x+5=-7\)
- \(6x-5=-5\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 6x \color{red}{-15}& = &3 \\\Leftrightarrow & 6x \color{red}{-15}\color{blue}{+15}
& = &3\color{blue}{+15} \\\Leftrightarrow &6x
& = &18\\\Leftrightarrow & \color{red}{6}x
& = &18\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{18}{6} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+14}& = &4 \\\Leftrightarrow & -12x \color{red}{+14}\color{blue}{-14}
& = &4\color{blue}{-14} \\\Leftrightarrow &-12x
& = &-10\\\Leftrightarrow & \color{red}{-12}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-10}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+8}& = &-1 \\\Leftrightarrow & 4x \color{red}{+8}\color{blue}{-8}
& = &-1\color{blue}{-8} \\\Leftrightarrow &4x
& = &-9\\\Leftrightarrow & \color{red}{4}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-9}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{4} } & & \\ & V = \left\{ \frac{-9}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{+4}& = &-14 \\\Leftrightarrow & -2x \color{red}{+4}\color{blue}{-4}
& = &-14\color{blue}{-4} \\\Leftrightarrow &-2x
& = &-18\\\Leftrightarrow & \color{red}{-2}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{-18}{-2} \\\Leftrightarrow & \color{green}{ x = 9 } & & \\ & V = \left\{ 9 \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+11}& = &-14 \\\Leftrightarrow & 12x \color{red}{+11}\color{blue}{-11}
& = &-14\color{blue}{-11} \\\Leftrightarrow &12x
& = &-25\\\Leftrightarrow & \color{red}{12}x
& = &-25\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-25}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-25}{12} } & & \\ & V = \left\{ \frac{-25}{12} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+12}& = &-11 \\\Leftrightarrow & 4x \color{red}{+12}\color{blue}{-12}
& = &-11\color{blue}{-12} \\\Leftrightarrow &4x
& = &-23\\\Leftrightarrow & \color{red}{4}x
& = &-23\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-23}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{4} } & & \\ & V = \left\{ \frac{-23}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+9}& = &-3 \\\Leftrightarrow & -6x \color{red}{+9}\color{blue}{-9}
& = &-3\color{blue}{-9} \\\Leftrightarrow &-6x
& = &-12\\\Leftrightarrow & \color{red}{-6}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-12}{-6} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+1}& = &-5 \\\Leftrightarrow & -7x \color{red}{+1}\color{blue}{-1}
& = &-5\color{blue}{-1} \\\Leftrightarrow &-7x
& = &-6\\\Leftrightarrow & \color{red}{-7}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-6}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{6}{7} } & & \\ & V = \left\{ \frac{6}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+1}& = &-8 \\\Leftrightarrow & -x \color{red}{+1}\color{blue}{-1}
& = &-8\color{blue}{-1} \\\Leftrightarrow &-x
& = &-9\\\Leftrightarrow & \color{red}{-}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-9}{-1} \\\Leftrightarrow & \color{green}{ x = 9 } & & \\ & V = \left\{ 9 \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+6}& = &-3 \\\Leftrightarrow & -7x \color{red}{+6}\color{blue}{-6}
& = &-3\color{blue}{-6} \\\Leftrightarrow &-7x
& = &-9\\\Leftrightarrow & \color{red}{-7}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-9}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{9}{7} } & & \\ & V = \left\{ \frac{9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+5}& = &-7 \\\Leftrightarrow & -13x \color{red}{+5}\color{blue}{-5}
& = &-7\color{blue}{-5} \\\Leftrightarrow &-13x
& = &-12\\\Leftrightarrow & \color{red}{-13}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-12}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{12}{13} } & & \\ & V = \left\{ \frac{12}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-5}& = &-5 \\\Leftrightarrow & 6x \color{red}{-5}\color{blue}{+5}
& = &-5\color{blue}{+5} \\\Leftrightarrow &6x
& = &0\\\Leftrightarrow & \color{red}{6}x
& = &0\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{0}{6} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)