Bepaal de waarde van x.
- \(-7x+7=10\)
- \(-x+8=7\)
- \(-9x-2=-3\)
- \(-12x+15=9\)
- \(-4x-5=-10\)
- \(8x+11=-9\)
- \(4x+5=-11\)
- \(-15x+10=14\)
- \(-10x+7=15\)
- \(2x-14=-5\)
- \(13x+1=-1\)
- \(3x+4=-12\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -7x \color{red}{+7}& = &10 \\\Leftrightarrow & -7x \color{red}{+7}\color{blue}{-7}
& = &10\color{blue}{-7} \\\Leftrightarrow &-7x
& = &3\\\Leftrightarrow & \color{red}{-7}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{3}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{7} } & & \\ & V = \left\{ \frac{-3}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+8}& = &7 \\\Leftrightarrow & -x \color{red}{+8}\color{blue}{-8}
& = &7\color{blue}{-8} \\\Leftrightarrow &-x
& = &-1\\\Leftrightarrow & \color{red}{-}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-1}{-1} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-2}& = &-3 \\\Leftrightarrow & -9x \color{red}{-2}\color{blue}{+2}
& = &-3\color{blue}{+2} \\\Leftrightarrow &-9x
& = &-1\\\Leftrightarrow & \color{red}{-9}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{-1}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{1}{9} } & & \\ & V = \left\{ \frac{1}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+15}& = &9 \\\Leftrightarrow & -12x \color{red}{+15}\color{blue}{-15}
& = &9\color{blue}{-15} \\\Leftrightarrow &-12x
& = &-6\\\Leftrightarrow & \color{red}{-12}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-6}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-5}& = &-10 \\\Leftrightarrow & -4x \color{red}{-5}\color{blue}{+5}
& = &-10\color{blue}{+5} \\\Leftrightarrow &-4x
& = &-5\\\Leftrightarrow & \color{red}{-4}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-5}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{5}{4} } & & \\ & V = \left\{ \frac{5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{+11}& = &-9 \\\Leftrightarrow & 8x \color{red}{+11}\color{blue}{-11}
& = &-9\color{blue}{-11} \\\Leftrightarrow &8x
& = &-20\\\Leftrightarrow & \color{red}{8}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-20}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{2} } & & \\ & V = \left\{ \frac{-5}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+5}& = &-11 \\\Leftrightarrow & 4x \color{red}{+5}\color{blue}{-5}
& = &-11\color{blue}{-5} \\\Leftrightarrow &4x
& = &-16\\\Leftrightarrow & \color{red}{4}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-16}{4} \\\Leftrightarrow & \color{green}{ x = -4 } & & \\ & V = \left\{ -4 \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{+10}& = &14 \\\Leftrightarrow & -15x \color{red}{+10}\color{blue}{-10}
& = &14\color{blue}{-10} \\\Leftrightarrow &-15x
& = &4\\\Leftrightarrow & \color{red}{-15}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{4}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{15} } & & \\ & V = \left\{ \frac{-4}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+7}& = &15 \\\Leftrightarrow & -10x \color{red}{+7}\color{blue}{-7}
& = &15\color{blue}{-7} \\\Leftrightarrow &-10x
& = &8\\\Leftrightarrow & \color{red}{-10}x
& = &8\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{8}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{5} } & & \\ & V = \left\{ \frac{-4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-14}& = &-5 \\\Leftrightarrow & 2x \color{red}{-14}\color{blue}{+14}
& = &-5\color{blue}{+14} \\\Leftrightarrow &2x
& = &9\\\Leftrightarrow & \color{red}{2}x
& = &9\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{9}{2} \\\Leftrightarrow & \color{green}{ x = \frac{9}{2} } & & \\ & V = \left\{ \frac{9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{+1}& = &-1 \\\Leftrightarrow & 13x \color{red}{+1}\color{blue}{-1}
& = &-1\color{blue}{-1} \\\Leftrightarrow &13x
& = &-2\\\Leftrightarrow & \color{red}{13}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-2}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{13} } & & \\ & V = \left\{ \frac{-2}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+4}& = &-12 \\\Leftrightarrow & 3x \color{red}{+4}\color{blue}{-4}
& = &-12\color{blue}{-4} \\\Leftrightarrow &3x
& = &-16\\\Leftrightarrow & \color{red}{3}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-16}{3} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{3} } & & \\ & V = \left\{ \frac{-16}{3} \right\} & \\\end{align}\)