Bepaal de waarde van x.
- \(8x-10=12\)
- \(14x+9=1\)
- \(-5x+5=-2\)
- \(x-12=-13\)
- \(9x+14=11\)
- \(-5x+11=5\)
- \(-10x+9=13\)
- \(-14x-7=-5\)
- \(-11x+11=-7\)
- \(9x+1=1\)
- \(7x-9=-4\)
- \(11x-12=5\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 8x \color{red}{-10}& = &12 \\\Leftrightarrow & 8x \color{red}{-10}\color{blue}{+10}
& = &12\color{blue}{+10} \\\Leftrightarrow &8x
& = &22\\\Leftrightarrow & \color{red}{8}x
& = &22\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{22}{8} \\\Leftrightarrow & \color{green}{ x = \frac{11}{4} } & & \\ & V = \left\{ \frac{11}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+9}& = &1 \\\Leftrightarrow & 14x \color{red}{+9}\color{blue}{-9}
& = &1\color{blue}{-9} \\\Leftrightarrow &14x
& = &-8\\\Leftrightarrow & \color{red}{14}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-8}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{7} } & & \\ & V = \left\{ \frac{-4}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+5}& = &-2 \\\Leftrightarrow & -5x \color{red}{+5}\color{blue}{-5}
& = &-2\color{blue}{-5} \\\Leftrightarrow &-5x
& = &-7\\\Leftrightarrow & \color{red}{-5}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-7}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{7}{5} } & & \\ & V = \left\{ \frac{7}{5} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-12}& = &-13 \\\Leftrightarrow & x \color{red}{-12}\color{blue}{+12}
& = &-13\color{blue}{+12} \\\Leftrightarrow &x
& = &-1\\\Leftrightarrow & \color{red}{}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -1 \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+14}& = &11 \\\Leftrightarrow & 9x \color{red}{+14}\color{blue}{-14}
& = &11\color{blue}{-14} \\\Leftrightarrow &9x
& = &-3\\\Leftrightarrow & \color{red}{9}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{-3}{9} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{3} } & & \\ & V = \left\{ \frac{-1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+11}& = &5 \\\Leftrightarrow & -5x \color{red}{+11}\color{blue}{-11}
& = &5\color{blue}{-11} \\\Leftrightarrow &-5x
& = &-6\\\Leftrightarrow & \color{red}{-5}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-6}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{6}{5} } & & \\ & V = \left\{ \frac{6}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+9}& = &13 \\\Leftrightarrow & -10x \color{red}{+9}\color{blue}{-9}
& = &13\color{blue}{-9} \\\Leftrightarrow &-10x
& = &4\\\Leftrightarrow & \color{red}{-10}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{4}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{5} } & & \\ & V = \left\{ \frac{-2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-7}& = &-5 \\\Leftrightarrow & -14x \color{red}{-7}\color{blue}{+7}
& = &-5\color{blue}{+7} \\\Leftrightarrow &-14x
& = &2\\\Leftrightarrow & \color{red}{-14}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{2}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{7} } & & \\ & V = \left\{ \frac{-1}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+11}& = &-7 \\\Leftrightarrow & -11x \color{red}{+11}\color{blue}{-11}
& = &-7\color{blue}{-11} \\\Leftrightarrow &-11x
& = &-18\\\Leftrightarrow & \color{red}{-11}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-18}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{18}{11} } & & \\ & V = \left\{ \frac{18}{11} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+1}& = &1 \\\Leftrightarrow & 9x \color{red}{+1}\color{blue}{-1}
& = &1\color{blue}{-1} \\\Leftrightarrow &9x
& = &0\\\Leftrightarrow & \color{red}{9}x
& = &0\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{0}{9} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-9}& = &-4 \\\Leftrightarrow & 7x \color{red}{-9}\color{blue}{+9}
& = &-4\color{blue}{+9} \\\Leftrightarrow &7x
& = &5\\\Leftrightarrow & \color{red}{7}x
& = &5\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{5}{7} \\\Leftrightarrow & \color{green}{ x = \frac{5}{7} } & & \\ & V = \left\{ \frac{5}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-12}& = &5 \\\Leftrightarrow & 11x \color{red}{-12}\color{blue}{+12}
& = &5\color{blue}{+12} \\\Leftrightarrow &11x
& = &17\\\Leftrightarrow & \color{red}{11}x
& = &17\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{17}{11} \\\Leftrightarrow & \color{green}{ x = \frac{17}{11} } & & \\ & V = \left\{ \frac{17}{11} \right\} & \\\end{align}\)