Bepaal de waarde van x.
- \(-10x+13=-5\)
- \(12x+3=1\)
- \(-9x-9=3\)
- \(7x-7=5\)
- \(-12x-4=6\)
- \(x-1=-10\)
- \(2x-15=4\)
- \(x+10=12\)
- \(-11x+6=-4\)
- \(-12x-11=13\)
- \(4x-8=-13\)
- \(-4x+11=-15\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -10x \color{red}{+13}& = &-5 \\\Leftrightarrow & -10x \color{red}{+13}\color{blue}{-13}
& = &-5\color{blue}{-13} \\\Leftrightarrow &-10x
& = &-18\\\Leftrightarrow & \color{red}{-10}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{-18}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{9}{5} } & & \\ & V = \left\{ \frac{9}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{+3}& = &1 \\\Leftrightarrow & 12x \color{red}{+3}\color{blue}{-3}
& = &1\color{blue}{-3} \\\Leftrightarrow &12x
& = &-2\\\Leftrightarrow & \color{red}{12}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{-2}{12} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{6} } & & \\ & V = \left\{ \frac{-1}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{-9}& = &3 \\\Leftrightarrow & -9x \color{red}{-9}\color{blue}{+9}
& = &3\color{blue}{+9} \\\Leftrightarrow &-9x
& = &12\\\Leftrightarrow & \color{red}{-9}x
& = &12\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{12}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{3} } & & \\ & V = \left\{ \frac{-4}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-7}& = &5 \\\Leftrightarrow & 7x \color{red}{-7}\color{blue}{+7}
& = &5\color{blue}{+7} \\\Leftrightarrow &7x
& = &12\\\Leftrightarrow & \color{red}{7}x
& = &12\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{12}{7} \\\Leftrightarrow & \color{green}{ x = \frac{12}{7} } & & \\ & V = \left\{ \frac{12}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-4}& = &6 \\\Leftrightarrow & -12x \color{red}{-4}\color{blue}{+4}
& = &6\color{blue}{+4} \\\Leftrightarrow &-12x
& = &10\\\Leftrightarrow & \color{red}{-12}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{10}{-12} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{6} } & & \\ & V = \left\{ \frac{-5}{6} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-1}& = &-10 \\\Leftrightarrow & x \color{red}{-1}\color{blue}{+1}
& = &-10\color{blue}{+1} \\\Leftrightarrow &x
& = &-9\\\Leftrightarrow & \color{red}{}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & -9 \\\Leftrightarrow & \color{green}{ x = -9 } & & \\ & V = \left\{ -9 \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{-15}& = &4 \\\Leftrightarrow & 2x \color{red}{-15}\color{blue}{+15}
& = &4\color{blue}{+15} \\\Leftrightarrow &2x
& = &19\\\Leftrightarrow & \color{red}{2}x
& = &19\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{19}{2} \\\Leftrightarrow & \color{green}{ x = \frac{19}{2} } & & \\ & V = \left\{ \frac{19}{2} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{+10}& = &12 \\\Leftrightarrow & x \color{red}{+10}\color{blue}{-10}
& = &12\color{blue}{-10} \\\Leftrightarrow &x
& = &2\\\Leftrightarrow & \color{red}{}x
& = &2\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 2 \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+6}& = &-4 \\\Leftrightarrow & -11x \color{red}{+6}\color{blue}{-6}
& = &-4\color{blue}{-6} \\\Leftrightarrow &-11x
& = &-10\\\Leftrightarrow & \color{red}{-11}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-10}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{10}{11} } & & \\ & V = \left\{ \frac{10}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -12x \color{red}{-11}& = &13 \\\Leftrightarrow & -12x \color{red}{-11}\color{blue}{+11}
& = &13\color{blue}{+11} \\\Leftrightarrow &-12x
& = &24\\\Leftrightarrow & \color{red}{-12}x
& = &24\\\Leftrightarrow & \frac{\color{red}{-12}x}{ \color{blue}-12}
& = & \frac{24}{-12} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-8}& = &-13 \\\Leftrightarrow & 4x \color{red}{-8}\color{blue}{+8}
& = &-13\color{blue}{+8} \\\Leftrightarrow &4x
& = &-5\\\Leftrightarrow & \color{red}{4}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-5}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{4} } & & \\ & V = \left\{ \frac{-5}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+11}& = &-15 \\\Leftrightarrow & -4x \color{red}{+11}\color{blue}{-11}
& = &-15\color{blue}{-11} \\\Leftrightarrow &-4x
& = &-26\\\Leftrightarrow & \color{red}{-4}x
& = &-26\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-26}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{13}{2} } & & \\ & V = \left\{ \frac{13}{2} \right\} & \\\end{align}\)