Bepaal de waarde van x.
- \(13x-10=-10\)
- \(-10x+12=7\)
- \(-9x-13=6\)
- \(14x+10=-12\)
- \(-13x+3=-9\)
- \(7x-15=10\)
- \(-6x+3=8\)
- \(8x-15=-2\)
- \(-2x-11=-11\)
- \(-10x+10=1\)
- \(10x-15=-4\)
- \(4x-2=1\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 13x \color{red}{-10}& = &-10 \\\Leftrightarrow & 13x \color{red}{-10}\color{blue}{+10}
& = &-10\color{blue}{+10} \\\Leftrightarrow &13x
& = &0\\\Leftrightarrow & \color{red}{13}x
& = &0\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{0}{13} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+12}& = &7 \\\Leftrightarrow & -10x \color{red}{+12}\color{blue}{-12}
& = &7\color{blue}{-12} \\\Leftrightarrow &-10x
& = &-5\\\Leftrightarrow & \color{red}{-10}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-5}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-13}& = &6 \\\Leftrightarrow & -9x \color{red}{-13}\color{blue}{+13}
& = &6\color{blue}{+13} \\\Leftrightarrow &-9x
& = &19\\\Leftrightarrow & \color{red}{-9}x
& = &19\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{19}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{9} } & & \\ & V = \left\{ \frac{-19}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+10}& = &-12 \\\Leftrightarrow & 14x \color{red}{+10}\color{blue}{-10}
& = &-12\color{blue}{-10} \\\Leftrightarrow &14x
& = &-22\\\Leftrightarrow & \color{red}{14}x
& = &-22\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-22}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{7} } & & \\ & V = \left\{ \frac{-11}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+3}& = &-9 \\\Leftrightarrow & -13x \color{red}{+3}\color{blue}{-3}
& = &-9\color{blue}{-3} \\\Leftrightarrow &-13x
& = &-12\\\Leftrightarrow & \color{red}{-13}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-12}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{12}{13} } & & \\ & V = \left\{ \frac{12}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-15}& = &10 \\\Leftrightarrow & 7x \color{red}{-15}\color{blue}{+15}
& = &10\color{blue}{+15} \\\Leftrightarrow &7x
& = &25\\\Leftrightarrow & \color{red}{7}x
& = &25\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{25}{7} \\\Leftrightarrow & \color{green}{ x = \frac{25}{7} } & & \\ & V = \left\{ \frac{25}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+3}& = &8 \\\Leftrightarrow & -6x \color{red}{+3}\color{blue}{-3}
& = &8\color{blue}{-3} \\\Leftrightarrow &-6x
& = &5\\\Leftrightarrow & \color{red}{-6}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{5}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{6} } & & \\ & V = \left\{ \frac{-5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{-15}& = &-2 \\\Leftrightarrow & 8x \color{red}{-15}\color{blue}{+15}
& = &-2\color{blue}{+15} \\\Leftrightarrow &8x
& = &13\\\Leftrightarrow & \color{red}{8}x
& = &13\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{13}{8} \\\Leftrightarrow & \color{green}{ x = \frac{13}{8} } & & \\ & V = \left\{ \frac{13}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-11}& = &-11 \\\Leftrightarrow & -2x \color{red}{-11}\color{blue}{+11}
& = &-11\color{blue}{+11} \\\Leftrightarrow &-2x
& = &0\\\Leftrightarrow & \color{red}{-2}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{0}{-2} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{+10}& = &1 \\\Leftrightarrow & -10x \color{red}{+10}\color{blue}{-10}
& = &1\color{blue}{-10} \\\Leftrightarrow &-10x
& = &-9\\\Leftrightarrow & \color{red}{-10}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-9}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{9}{10} } & & \\ & V = \left\{ \frac{9}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-15}& = &-4 \\\Leftrightarrow & 10x \color{red}{-15}\color{blue}{+15}
& = &-4\color{blue}{+15} \\\Leftrightarrow &10x
& = &11\\\Leftrightarrow & \color{red}{10}x
& = &11\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{11}{10} \\\Leftrightarrow & \color{green}{ x = \frac{11}{10} } & & \\ & V = \left\{ \frac{11}{10} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-2}& = &1 \\\Leftrightarrow & 4x \color{red}{-2}\color{blue}{+2}
& = &1\color{blue}{+2} \\\Leftrightarrow &4x
& = &3\\\Leftrightarrow & \color{red}{4}x
& = &3\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{3}{4} \\\Leftrightarrow & \color{green}{ x = \frac{3}{4} } & & \\ & V = \left\{ \frac{3}{4} \right\} & \\\end{align}\)