Bepaal de waarde van x.
- \(-7x+6=8\)
- \(3x+3=-12\)
- \(-6x-1=6\)
- \(6x-13=-12\)
- \(x-8=-11\)
- \(2x+4=10\)
- \(11x-1=10\)
- \(-13x-1=5\)
- \(-12x+15=5\)
- \(13x-7=-6\)
- \(6x-12=15\)
- \(-4x+9=13\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -7x \color{red}{+6}& = &8 \\\Leftrightarrow & -7x \color{red}{+6}\color{blue}{-6}
& = &8\color{blue}{-6} \\\Leftrightarrow &-7x
& = &2\\\Leftrightarrow & \color{red}{-7}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{2}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{7} } & & \\ & V = \left\{ \frac{-2}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{+3}& = &-12 \\\Leftrightarrow & 3x \color{red}{+3}\color{blue}{-3}
& = &-12\color{blue}{-3} \\\Leftrightarrow &3x
& = &-15\\\Leftrightarrow & \color{red}{3}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{-15}{3} \\\Leftrightarrow & \color{green}{ x = -5 } & & \\ & V = \left\{ -5 \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-1}& = &6 \\\Leftrightarrow & -6x \color{red}{-1}\color{blue}{+1}
& = &6\color{blue}{+1} \\\Leftrightarrow &-6x
& = &7\\\Leftrightarrow & \color{red}{-6}x
& = &7\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{7}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{6} } & & \\ & V = \left\{ \frac{-7}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-13}& = &-12 \\\Leftrightarrow & 6x \color{red}{-13}\color{blue}{+13}
& = &-12\color{blue}{+13} \\\Leftrightarrow &6x
& = &1\\\Leftrightarrow & \color{red}{6}x
& = &1\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{1}{6} \\\Leftrightarrow & \color{green}{ x = \frac{1}{6} } & & \\ & V = \left\{ \frac{1}{6} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-8}& = &-11 \\\Leftrightarrow & x \color{red}{-8}\color{blue}{+8}
& = &-11\color{blue}{+8} \\\Leftrightarrow &x
& = &-3\\\Leftrightarrow & \color{red}{}x
& = &-3\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -3 \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+4}& = &10 \\\Leftrightarrow & 2x \color{red}{+4}\color{blue}{-4}
& = &10\color{blue}{-4} \\\Leftrightarrow &2x
& = &6\\\Leftrightarrow & \color{red}{2}x
& = &6\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{6}{2} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-1}& = &10 \\\Leftrightarrow & 11x \color{red}{-1}\color{blue}{+1}
& = &10\color{blue}{+1} \\\Leftrightarrow &11x
& = &11\\\Leftrightarrow & \color{red}{11}x
& = &11\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{11}{11} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-1}& = &5 \\\Leftrightarrow & -13x \color{red}{-1}\color{blue}{+1}
& = &5\color{blue}{+1} \\\Leftrightarrow &-13x
& = &6\\\Leftrightarrow & \color{red}{-13}x
& = &6\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{6}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{13} } & & \\ & V = \left\{ \frac{-6}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+15}& = &5 \\\Leftrightarrow & -12x \color{red}{+15}\color{blue}{-15}
& = &5\color{blue}{-15} \\\Leftrightarrow &-12x
& = &-10\\\Leftrightarrow & \color{red}{-12}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-10}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{5}{6} } & & \\ & V = \left\{ \frac{5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-7}& = &-6 \\\Leftrightarrow & 13x \color{red}{-7}\color{blue}{+7}
& = &-6\color{blue}{+7} \\\Leftrightarrow &13x
& = &1\\\Leftrightarrow & \color{red}{13}x
& = &1\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{1}{13} \\\Leftrightarrow & \color{green}{ x = \frac{1}{13} } & & \\ & V = \left\{ \frac{1}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-12}& = &15 \\\Leftrightarrow & 6x \color{red}{-12}\color{blue}{+12}
& = &15\color{blue}{+12} \\\Leftrightarrow &6x
& = &27\\\Leftrightarrow & \color{red}{6}x
& = &27\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{27}{6} \\\Leftrightarrow & \color{green}{ x = \frac{9}{2} } & & \\ & V = \left\{ \frac{9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+9}& = &13 \\\Leftrightarrow & -4x \color{red}{+9}\color{blue}{-9}
& = &13\color{blue}{-9} \\\Leftrightarrow &-4x
& = &4\\\Leftrightarrow & \color{red}{-4}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{4}{-4} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)