Bepaal de waarde van x.
- \(-7x-1=-15\)
- \(7x-15=5\)
- \(-4x-1=11\)
- \(2x+11=-12\)
- \(-12x+11=7\)
- \(-7x-1=2\)
- \(5x+10=-9\)
- \(7x-2=-1\)
- \(-15x-4=10\)
- \(-11x+11=13\)
- \(-7x-12=4\)
- \(x+9=7\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -7x \color{red}{-1}& = &-15 \\\Leftrightarrow & -7x \color{red}{-1}\color{blue}{+1}
& = &-15\color{blue}{+1} \\\Leftrightarrow &-7x
& = &-14\\\Leftrightarrow & \color{red}{-7}x
& = &-14\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-14}{-7} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-15}& = &5 \\\Leftrightarrow & 7x \color{red}{-15}\color{blue}{+15}
& = &5\color{blue}{+15} \\\Leftrightarrow &7x
& = &20\\\Leftrightarrow & \color{red}{7}x
& = &20\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{20}{7} \\\Leftrightarrow & \color{green}{ x = \frac{20}{7} } & & \\ & V = \left\{ \frac{20}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-1}& = &11 \\\Leftrightarrow & -4x \color{red}{-1}\color{blue}{+1}
& = &11\color{blue}{+1} \\\Leftrightarrow &-4x
& = &12\\\Leftrightarrow & \color{red}{-4}x
& = &12\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{12}{-4} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+11}& = &-12 \\\Leftrightarrow & 2x \color{red}{+11}\color{blue}{-11}
& = &-12\color{blue}{-11} \\\Leftrightarrow &2x
& = &-23\\\Leftrightarrow & \color{red}{2}x
& = &-23\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-23}{2} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{2} } & & \\ & V = \left\{ \frac{-23}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+11}& = &7 \\\Leftrightarrow & -12x \color{red}{+11}\color{blue}{-11}
& = &7\color{blue}{-11} \\\Leftrightarrow &-12x
& = &-4\\\Leftrightarrow & \color{red}{-12}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-4}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{1}{3} } & & \\ & V = \left\{ \frac{1}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-1}& = &2 \\\Leftrightarrow & -7x \color{red}{-1}\color{blue}{+1}
& = &2\color{blue}{+1} \\\Leftrightarrow &-7x
& = &3\\\Leftrightarrow & \color{red}{-7}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{3}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{7} } & & \\ & V = \left\{ \frac{-3}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+10}& = &-9 \\\Leftrightarrow & 5x \color{red}{+10}\color{blue}{-10}
& = &-9\color{blue}{-10} \\\Leftrightarrow &5x
& = &-19\\\Leftrightarrow & \color{red}{5}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-19}{5} \\\Leftrightarrow & \color{green}{ x = \frac{-19}{5} } & & \\ & V = \left\{ \frac{-19}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-2}& = &-1 \\\Leftrightarrow & 7x \color{red}{-2}\color{blue}{+2}
& = &-1\color{blue}{+2} \\\Leftrightarrow &7x
& = &1\\\Leftrightarrow & \color{red}{7}x
& = &1\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{1}{7} \\\Leftrightarrow & \color{green}{ x = \frac{1}{7} } & & \\ & V = \left\{ \frac{1}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-4}& = &10 \\\Leftrightarrow & -15x \color{red}{-4}\color{blue}{+4}
& = &10\color{blue}{+4} \\\Leftrightarrow &-15x
& = &14\\\Leftrightarrow & \color{red}{-15}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{14}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-14}{15} } & & \\ & V = \left\{ \frac{-14}{15} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+11}& = &13 \\\Leftrightarrow & -11x \color{red}{+11}\color{blue}{-11}
& = &13\color{blue}{-11} \\\Leftrightarrow &-11x
& = &2\\\Leftrightarrow & \color{red}{-11}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{2}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{11} } & & \\ & V = \left\{ \frac{-2}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-12}& = &4 \\\Leftrightarrow & -7x \color{red}{-12}\color{blue}{+12}
& = &4\color{blue}{+12} \\\Leftrightarrow &-7x
& = &16\\\Leftrightarrow & \color{red}{-7}x
& = &16\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{16}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{7} } & & \\ & V = \left\{ \frac{-16}{7} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+9}& = &7 \\\Leftrightarrow & x \color{red}{+9}\color{blue}{-9}
& = &7\color{blue}{-9} \\\Leftrightarrow &x
& = &-2\\\Leftrightarrow & \color{red}{}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -2 \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)