Bepaal de waarde van x.
- \(13x-15=-11\)
- \(-9x+6=10\)
- \(6x-6=-2\)
- \(4x+2=-14\)
- \(-13x-6=6\)
- \(-12x+3=-4\)
- \(-5x-11=-2\)
- \(-3x+5=3\)
- \(-3x+5=15\)
- \(4x-11=12\)
- \(15x-7=9\)
- \(15x+15=10\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 13x \color{red}{-15}& = &-11 \\\Leftrightarrow & 13x \color{red}{-15}\color{blue}{+15}
& = &-11\color{blue}{+15} \\\Leftrightarrow &13x
& = &4\\\Leftrightarrow & \color{red}{13}x
& = &4\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{4}{13} \\\Leftrightarrow & \color{green}{ x = \frac{4}{13} } & & \\ & V = \left\{ \frac{4}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+6}& = &10 \\\Leftrightarrow & -9x \color{red}{+6}\color{blue}{-6}
& = &10\color{blue}{-6} \\\Leftrightarrow &-9x
& = &4\\\Leftrightarrow & \color{red}{-9}x
& = &4\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{4}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{9} } & & \\ & V = \left\{ \frac{-4}{9} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-6}& = &-2 \\\Leftrightarrow & 6x \color{red}{-6}\color{blue}{+6}
& = &-2\color{blue}{+6} \\\Leftrightarrow &6x
& = &4\\\Leftrightarrow & \color{red}{6}x
& = &4\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{4}{6} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+2}& = &-14 \\\Leftrightarrow & 4x \color{red}{+2}\color{blue}{-2}
& = &-14\color{blue}{-2} \\\Leftrightarrow &4x
& = &-16\\\Leftrightarrow & \color{red}{4}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-16}{4} \\\Leftrightarrow & \color{green}{ x = -4 } & & \\ & V = \left\{ -4 \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{-6}& = &6 \\\Leftrightarrow & -13x \color{red}{-6}\color{blue}{+6}
& = &6\color{blue}{+6} \\\Leftrightarrow &-13x
& = &12\\\Leftrightarrow & \color{red}{-13}x
& = &12\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{12}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{-12}{13} } & & \\ & V = \left\{ \frac{-12}{13} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{+3}& = &-4 \\\Leftrightarrow & -12x \color{red}{+3}\color{blue}{-3}
& = &-4\color{blue}{-3} \\\Leftrightarrow &-12x
& = &-7\\\Leftrightarrow & \color{red}{-12}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{-7}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{7}{12} } & & \\ & V = \left\{ \frac{7}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-11}& = &-2 \\\Leftrightarrow & -5x \color{red}{-11}\color{blue}{+11}
& = &-2\color{blue}{+11} \\\Leftrightarrow &-5x
& = &9\\\Leftrightarrow & \color{red}{-5}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{9}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{5} } & & \\ & V = \left\{ \frac{-9}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+5}& = &3 \\\Leftrightarrow & -3x \color{red}{+5}\color{blue}{-5}
& = &3\color{blue}{-5} \\\Leftrightarrow &-3x
& = &-2\\\Leftrightarrow & \color{red}{-3}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-2}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+5}& = &15 \\\Leftrightarrow & -3x \color{red}{+5}\color{blue}{-5}
& = &15\color{blue}{-5} \\\Leftrightarrow &-3x
& = &10\\\Leftrightarrow & \color{red}{-3}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{10}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{-10}{3} } & & \\ & V = \left\{ \frac{-10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-11}& = &12 \\\Leftrightarrow & 4x \color{red}{-11}\color{blue}{+11}
& = &12\color{blue}{+11} \\\Leftrightarrow &4x
& = &23\\\Leftrightarrow & \color{red}{4}x
& = &23\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{23}{4} \\\Leftrightarrow & \color{green}{ x = \frac{23}{4} } & & \\ & V = \left\{ \frac{23}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-7}& = &9 \\\Leftrightarrow & 15x \color{red}{-7}\color{blue}{+7}
& = &9\color{blue}{+7} \\\Leftrightarrow &15x
& = &16\\\Leftrightarrow & \color{red}{15}x
& = &16\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{16}{15} \\\Leftrightarrow & \color{green}{ x = \frac{16}{15} } & & \\ & V = \left\{ \frac{16}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+15}& = &10 \\\Leftrightarrow & 15x \color{red}{+15}\color{blue}{-15}
& = &10\color{blue}{-15} \\\Leftrightarrow &15x
& = &-5\\\Leftrightarrow & \color{red}{15}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-5}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{3} } & & \\ & V = \left\{ \frac{-1}{3} \right\} & \\\end{align}\)