Bepaal de waarde van x.
- \(2x+11=-15\)
- \(4x+10=9\)
- \(3x+1=-12\)
- \(14x+6=7\)
- \(9x+8=11\)
- \(5x+1=13\)
- \(-13x+6=-9\)
- \(6x-6=5\)
- \(14x+5=-3\)
- \(-5x-7=13\)
- \(2x+7=-2\)
- \(6x+10=3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 2x \color{red}{+11}& = &-15 \\\Leftrightarrow & 2x \color{red}{+11}\color{blue}{-11}
& = &-15\color{blue}{-11} \\\Leftrightarrow &2x
& = &-26\\\Leftrightarrow & \color{red}{2}x
& = &-26\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-26}{2} \\\Leftrightarrow & \color{green}{ x = -13 } & & \\ & V = \left\{ -13 \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+10}& = &9 \\\Leftrightarrow & 4x \color{red}{+10}\color{blue}{-10}
& = &9\color{blue}{-10} \\\Leftrightarrow &4x
& = &-1\\\Leftrightarrow & \color{red}{4}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-1}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{4} } & & \\ & V = \left\{ \frac{-1}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+1}& = &-12 \\\Leftrightarrow & 3x \color{red}{+1}\color{blue}{-1}
& = &-12\color{blue}{-1} \\\Leftrightarrow &3x
& = &-13\\\Leftrightarrow & \color{red}{3}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-13}{3} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{3} } & & \\ & V = \left\{ \frac{-13}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+6}& = &7 \\\Leftrightarrow & 14x \color{red}{+6}\color{blue}{-6}
& = &7\color{blue}{-6} \\\Leftrightarrow &14x
& = &1\\\Leftrightarrow & \color{red}{14}x
& = &1\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{1}{14} \\\Leftrightarrow & \color{green}{ x = \frac{1}{14} } & & \\ & V = \left\{ \frac{1}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 9x \color{red}{+8}& = &11 \\\Leftrightarrow & 9x \color{red}{+8}\color{blue}{-8}
& = &11\color{blue}{-8} \\\Leftrightarrow &9x
& = &3\\\Leftrightarrow & \color{red}{9}x
& = &3\\\Leftrightarrow & \frac{\color{red}{9}x}{ \color{blue}9}
& = & \frac{3}{9} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+1}& = &13 \\\Leftrightarrow & 5x \color{red}{+1}\color{blue}{-1}
& = &13\color{blue}{-1} \\\Leftrightarrow &5x
& = &12\\\Leftrightarrow & \color{red}{5}x
& = &12\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{12}{5} \\\Leftrightarrow & \color{green}{ x = \frac{12}{5} } & & \\ & V = \left\{ \frac{12}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+6}& = &-9 \\\Leftrightarrow & -13x \color{red}{+6}\color{blue}{-6}
& = &-9\color{blue}{-6} \\\Leftrightarrow &-13x
& = &-15\\\Leftrightarrow & \color{red}{-13}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-15}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{15}{13} } & & \\ & V = \left\{ \frac{15}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-6}& = &5 \\\Leftrightarrow & 6x \color{red}{-6}\color{blue}{+6}
& = &5\color{blue}{+6} \\\Leftrightarrow &6x
& = &11\\\Leftrightarrow & \color{red}{6}x
& = &11\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{11}{6} \\\Leftrightarrow & \color{green}{ x = \frac{11}{6} } & & \\ & V = \left\{ \frac{11}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{+5}& = &-3 \\\Leftrightarrow & 14x \color{red}{+5}\color{blue}{-5}
& = &-3\color{blue}{-5} \\\Leftrightarrow &14x
& = &-8\\\Leftrightarrow & \color{red}{14}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-8}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{7} } & & \\ & V = \left\{ \frac{-4}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-7}& = &13 \\\Leftrightarrow & -5x \color{red}{-7}\color{blue}{+7}
& = &13\color{blue}{+7} \\\Leftrightarrow &-5x
& = &20\\\Leftrightarrow & \color{red}{-5}x
& = &20\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{20}{-5} \\\Leftrightarrow & \color{green}{ x = -4 } & & \\ & V = \left\{ -4 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+7}& = &-2 \\\Leftrightarrow & 2x \color{red}{+7}\color{blue}{-7}
& = &-2\color{blue}{-7} \\\Leftrightarrow &2x
& = &-9\\\Leftrightarrow & \color{red}{2}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-9}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{2} } & & \\ & V = \left\{ \frac{-9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+10}& = &3 \\\Leftrightarrow & 6x \color{red}{+10}\color{blue}{-10}
& = &3\color{blue}{-10} \\\Leftrightarrow &6x
& = &-7\\\Leftrightarrow & \color{red}{6}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-7}{6} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{6} } & & \\ & V = \left\{ \frac{-7}{6} \right\} & \\\end{align}\)