Bepaal de waarde van x.
- \(9x-9=-11\)
- \(12x-7=5\)
- \(-8x+14=-2\)
- \(-x-5=13\)
- \(4x-8=-12\)
- \(15x+9=3\)
- \(-3x+2=-2\)
- \(9x+7=-9\)
- \(9x+15=8\)
- \(12x-4=-7\)
- \(10x-2=-13\)
- \(2x-1=-5\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 9x \color{red}{-9}& = &-11 \\\Leftrightarrow & 9x \color{red}{-9}\color{blue}{+9}
& = &-11\color{blue}{+9} \\\Leftrightarrow &9x
& = &-2\\\Leftrightarrow & \color{red}{9}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-2}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{9} } & & \\ & V = \left\{ \frac{-2}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-7}& = &5 \\\Leftrightarrow & 12x \color{red}{-7}\color{blue}{+7}
& = &5\color{blue}{+7} \\\Leftrightarrow &12x
& = &12\\\Leftrightarrow & \color{red}{12}x
& = &12\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{12}{12} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+14}& = &-2 \\\Leftrightarrow & -8x \color{red}{+14}\color{blue}{-14}
& = &-2\color{blue}{-14} \\\Leftrightarrow &-8x
& = &-16\\\Leftrightarrow & \color{red}{-8}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-16}{-8} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-5}& = &13 \\\Leftrightarrow & -x \color{red}{-5}\color{blue}{+5}
& = &13\color{blue}{+5} \\\Leftrightarrow &-x
& = &18\\\Leftrightarrow & \color{red}{-}x
& = &18\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{18}{-1} \\\Leftrightarrow & \color{green}{ x = -18 } & & \\ & V = \left\{ -18 \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-8}& = &-12 \\\Leftrightarrow & 4x \color{red}{-8}\color{blue}{+8}
& = &-12\color{blue}{+8} \\\Leftrightarrow &4x
& = &-4\\\Leftrightarrow & \color{red}{4}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-4}{4} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+9}& = &3 \\\Leftrightarrow & 15x \color{red}{+9}\color{blue}{-9}
& = &3\color{blue}{-9} \\\Leftrightarrow &15x
& = &-6\\\Leftrightarrow & \color{red}{15}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-6}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{5} } & & \\ & V = \left\{ \frac{-2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+2}& = &-2 \\\Leftrightarrow & -3x \color{red}{+2}\color{blue}{-2}
& = &-2\color{blue}{-2} \\\Leftrightarrow &-3x
& = &-4\\\Leftrightarrow & \color{red}{-3}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-4}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{4}{3} } & & \\ & V = \left\{ \frac{4}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+7}& = &-9 \\\Leftrightarrow & 9x \color{red}{+7}\color{blue}{-7}
& = &-9\color{blue}{-7} \\\Leftrightarrow &9x
& = &-16\\\Leftrightarrow & \color{red}{9}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-16}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{9} } & & \\ & V = \left\{ \frac{-16}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+15}& = &8 \\\Leftrightarrow & 9x \color{red}{+15}\color{blue}{-15}
& = &8\color{blue}{-15} \\\Leftrightarrow &9x
& = &-7\\\Leftrightarrow & \color{red}{9}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-7}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{9} } & & \\ & V = \left\{ \frac{-7}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-4}& = &-7 \\\Leftrightarrow & 12x \color{red}{-4}\color{blue}{+4}
& = &-7\color{blue}{+4} \\\Leftrightarrow &12x
& = &-3\\\Leftrightarrow & \color{red}{12}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-3}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{4} } & & \\ & V = \left\{ \frac{-1}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-2}& = &-13 \\\Leftrightarrow & 10x \color{red}{-2}\color{blue}{+2}
& = &-13\color{blue}{+2} \\\Leftrightarrow &10x
& = &-11\\\Leftrightarrow & \color{red}{10}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-11}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{10} } & & \\ & V = \left\{ \frac{-11}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-1}& = &-5 \\\Leftrightarrow & 2x \color{red}{-1}\color{blue}{+1}
& = &-5\color{blue}{+1} \\\Leftrightarrow &2x
& = &-4\\\Leftrightarrow & \color{red}{2}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-4}{2} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)