Bepaal de waarde van x.
- \(10x+3=-12\)
- \(-6x+4=-6\)
- \(x+8=8\)
- \(15x-1=-2\)
- \(-14x-4=10\)
- \(-15x-1=-9\)
- \(11x+9=-2\)
- \(11x+13=12\)
- \(-12x-7=10\)
- \(-x+12=-15\)
- \(x-8=11\)
- \(6x-12=-9\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 10x \color{red}{+3}& = &-12 \\\Leftrightarrow & 10x \color{red}{+3}\color{blue}{-3}
& = &-12\color{blue}{-3} \\\Leftrightarrow &10x
& = &-15\\\Leftrightarrow & \color{red}{10}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-15}{10} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{+4}& = &-6 \\\Leftrightarrow & -6x \color{red}{+4}\color{blue}{-4}
& = &-6\color{blue}{-4} \\\Leftrightarrow &-6x
& = &-10\\\Leftrightarrow & \color{red}{-6}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-10}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{5}{3} } & & \\ & V = \left\{ \frac{5}{3} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+8}& = &8 \\\Leftrightarrow & x \color{red}{+8}\color{blue}{-8}
& = &8\color{blue}{-8} \\\Leftrightarrow &x
& = &0\\\Leftrightarrow & \color{red}{}x
& = &0\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 0 \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-1}& = &-2 \\\Leftrightarrow & 15x \color{red}{-1}\color{blue}{+1}
& = &-2\color{blue}{+1} \\\Leftrightarrow &15x
& = &-1\\\Leftrightarrow & \color{red}{15}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-1}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{15} } & & \\ & V = \left\{ \frac{-1}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-4}& = &10 \\\Leftrightarrow & -14x \color{red}{-4}\color{blue}{+4}
& = &10\color{blue}{+4} \\\Leftrightarrow &-14x
& = &14\\\Leftrightarrow & \color{red}{-14}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{14}{-14} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-1}& = &-9 \\\Leftrightarrow & -15x \color{red}{-1}\color{blue}{+1}
& = &-9\color{blue}{+1} \\\Leftrightarrow &-15x
& = &-8\\\Leftrightarrow & \color{red}{-15}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{-8}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{8}{15} } & & \\ & V = \left\{ \frac{8}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{+9}& = &-2 \\\Leftrightarrow & 11x \color{red}{+9}\color{blue}{-9}
& = &-2\color{blue}{-9} \\\Leftrightarrow &11x
& = &-11\\\Leftrightarrow & \color{red}{11}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{-11}{11} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{+13}& = &12 \\\Leftrightarrow & 11x \color{red}{+13}\color{blue}{-13}
& = &12\color{blue}{-13} \\\Leftrightarrow &11x
& = &-1\\\Leftrightarrow & \color{red}{11}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{-1}{11} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{11} } & & \\ & V = \left\{ \frac{-1}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-7}& = &10 \\\Leftrightarrow & -12x \color{red}{-7}\color{blue}{+7}
& = &10\color{blue}{+7} \\\Leftrightarrow &-12x
& = &17\\\Leftrightarrow & \color{red}{-12}x
& = &17\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{17}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{-17}{12} } & & \\ & V = \left\{ \frac{-17}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+12}& = &-15 \\\Leftrightarrow & -x \color{red}{+12}\color{blue}{-12}
& = &-15\color{blue}{-12} \\\Leftrightarrow &-x
& = &-27\\\Leftrightarrow & \color{red}{-}x
& = &-27\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-27}{-1} \\\Leftrightarrow & \color{green}{ x = 27 } & & \\ & V = \left\{ 27 \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-8}& = &11 \\\Leftrightarrow & x \color{red}{-8}\color{blue}{+8}
& = &11\color{blue}{+8} \\\Leftrightarrow &x
& = &19\\\Leftrightarrow & \color{red}{}x
& = &19\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 19 \\\Leftrightarrow & \color{green}{ x = 19 } & & \\ & V = \left\{ 19 \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-12}& = &-9 \\\Leftrightarrow & 6x \color{red}{-12}\color{blue}{+12}
& = &-9\color{blue}{+12} \\\Leftrightarrow &6x
& = &3\\\Leftrightarrow & \color{red}{6}x
& = &3\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{3}{6} \\\Leftrightarrow & \color{green}{ x = \frac{1}{2} } & & \\ & V = \left\{ \frac{1}{2} \right\} & \\\end{align}\)