Bepaal de waarde van x.
- \(8x+1=12\)
- \(10x+7=-3\)
- \(-5x+11=-4\)
- \(-8x+6=11\)
- \(3x-10=-1\)
- \(-2x-13=-10\)
- \(x-15=6\)
- \(-13x-14=2\)
- \(-8x+3=8\)
- \(8x-3=-10\)
- \(-5x+9=-4\)
- \(-7x+4=-4\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 8x \color{red}{+1}& = &12 \\\Leftrightarrow & 8x \color{red}{+1}\color{blue}{-1}
& = &12\color{blue}{-1} \\\Leftrightarrow &8x
& = &11\\\Leftrightarrow & \color{red}{8}x
& = &11\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{11}{8} \\\Leftrightarrow & \color{green}{ x = \frac{11}{8} } & & \\ & V = \left\{ \frac{11}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{+7}& = &-3 \\\Leftrightarrow & 10x \color{red}{+7}\color{blue}{-7}
& = &-3\color{blue}{-7} \\\Leftrightarrow &10x
& = &-10\\\Leftrightarrow & \color{red}{10}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{-10}{10} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+11}& = &-4 \\\Leftrightarrow & -5x \color{red}{+11}\color{blue}{-11}
& = &-4\color{blue}{-11} \\\Leftrightarrow &-5x
& = &-15\\\Leftrightarrow & \color{red}{-5}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-15}{-5} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+6}& = &11 \\\Leftrightarrow & -8x \color{red}{+6}\color{blue}{-6}
& = &11\color{blue}{-6} \\\Leftrightarrow &-8x
& = &5\\\Leftrightarrow & \color{red}{-8}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{5}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{8} } & & \\ & V = \left\{ \frac{-5}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-10}& = &-1 \\\Leftrightarrow & 3x \color{red}{-10}\color{blue}{+10}
& = &-1\color{blue}{+10} \\\Leftrightarrow &3x
& = &9\\\Leftrightarrow & \color{red}{3}x
& = &9\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{9}{3} \\\Leftrightarrow & \color{green}{ x = 3 } & & \\ & V = \left\{ 3 \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-13}& = &-10 \\\Leftrightarrow & -2x \color{red}{-13}\color{blue}{+13}
& = &-10\color{blue}{+13} \\\Leftrightarrow &-2x
& = &3\\\Leftrightarrow & \color{red}{-2}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{3}{-2} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-15}& = &6 \\\Leftrightarrow & x \color{red}{-15}\color{blue}{+15}
& = &6\color{blue}{+15} \\\Leftrightarrow &x
& = &21\\\Leftrightarrow & \color{red}{}x
& = &21\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 21 \\\Leftrightarrow & \color{green}{ x = 21 } & & \\ & V = \left\{ 21 \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-14}& = &2 \\\Leftrightarrow & -13x \color{red}{-14}\color{blue}{+14}
& = &2\color{blue}{+14} \\\Leftrightarrow &-13x
& = &16\\\Leftrightarrow & \color{red}{-13}x
& = &16\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{16}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{13} } & & \\ & V = \left\{ \frac{-16}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+3}& = &8 \\\Leftrightarrow & -8x \color{red}{+3}\color{blue}{-3}
& = &8\color{blue}{-3} \\\Leftrightarrow &-8x
& = &5\\\Leftrightarrow & \color{red}{-8}x
& = &5\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{5}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{8} } & & \\ & V = \left\{ \frac{-5}{8} \right\} & \\\end{align}\)
- \(\begin{align} & 8x \color{red}{-3}& = &-10 \\\Leftrightarrow & 8x \color{red}{-3}\color{blue}{+3}
& = &-10\color{blue}{+3} \\\Leftrightarrow &8x
& = &-7\\\Leftrightarrow & \color{red}{8}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{8}x}{ \color{blue}8}
& = & \frac{-7}{8} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{8} } & & \\ & V = \left\{ \frac{-7}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+9}& = &-4 \\\Leftrightarrow & -5x \color{red}{+9}\color{blue}{-9}
& = &-4\color{blue}{-9} \\\Leftrightarrow &-5x
& = &-13\\\Leftrightarrow & \color{red}{-5}x
& = &-13\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-13}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{13}{5} } & & \\ & V = \left\{ \frac{13}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+4}& = &-4 \\\Leftrightarrow & -7x \color{red}{+4}\color{blue}{-4}
& = &-4\color{blue}{-4} \\\Leftrightarrow &-7x
& = &-8\\\Leftrightarrow & \color{red}{-7}x
& = &-8\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-8}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{8}{7} } & & \\ & V = \left\{ \frac{8}{7} \right\} & \\\end{align}\)