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