Bepaal de waarde van x.
- \(-5x+9=11\)
- \(4x+15=5\)
- \(-14x-9=-10\)
- \(-4x+8=-10\)
- \(-13x+14=13\)
- \(7x-15=4\)
- \(14x-3=11\)
- \(-2x-5=-5\)
- \(-10x-2=13\)
- \(13x-4=12\)
- \(13x-6=-8\)
- \(7x-5=7\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -5x \color{red}{+9}& = &11 \\\Leftrightarrow & -5x \color{red}{+9}\color{blue}{-9}
& = &11\color{blue}{-9} \\\Leftrightarrow &-5x
& = &2\\\Leftrightarrow & \color{red}{-5}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{2}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{5} } & & \\ & V = \left\{ \frac{-2}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{+15}& = &5 \\\Leftrightarrow & 4x \color{red}{+15}\color{blue}{-15}
& = &5\color{blue}{-15} \\\Leftrightarrow &4x
& = &-10\\\Leftrightarrow & \color{red}{4}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-10}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{2} } & & \\ & V = \left\{ \frac{-5}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -14x \color{red}{-9}& = &-10 \\\Leftrightarrow & -14x \color{red}{-9}\color{blue}{+9}
& = &-10\color{blue}{+9} \\\Leftrightarrow &-14x
& = &-1\\\Leftrightarrow & \color{red}{-14}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-14}x}{ \color{blue}-14}
& = & \frac{-1}{-14} \\\Leftrightarrow & \color{green}{ x = \frac{1}{14} } & & \\ & V = \left\{ \frac{1}{14} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+8}& = &-10 \\\Leftrightarrow & -4x \color{red}{+8}\color{blue}{-8}
& = &-10\color{blue}{-8} \\\Leftrightarrow &-4x
& = &-18\\\Leftrightarrow & \color{red}{-4}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-18}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{9}{2} } & & \\ & V = \left\{ \frac{9}{2} \right\} & \\\end{align}\)
- \(\begin{align} & -13x \color{red}{+14}& = &13 \\\Leftrightarrow & -13x \color{red}{+14}\color{blue}{-14}
& = &13\color{blue}{-14} \\\Leftrightarrow &-13x
& = &-1\\\Leftrightarrow & \color{red}{-13}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{-13}x}{ \color{blue}-13}
& = & \frac{-1}{-13} \\\Leftrightarrow & \color{green}{ x = \frac{1}{13} } & & \\ & V = \left\{ \frac{1}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-15}& = &4 \\\Leftrightarrow & 7x \color{red}{-15}\color{blue}{+15}
& = &4\color{blue}{+15} \\\Leftrightarrow &7x
& = &19\\\Leftrightarrow & \color{red}{7}x
& = &19\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{19}{7} \\\Leftrightarrow & \color{green}{ x = \frac{19}{7} } & & \\ & V = \left\{ \frac{19}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-3}& = &11 \\\Leftrightarrow & 14x \color{red}{-3}\color{blue}{+3}
& = &11\color{blue}{+3} \\\Leftrightarrow &14x
& = &14\\\Leftrightarrow & \color{red}{14}x
& = &14\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{14}{14} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)
- \(\begin{align} & -2x \color{red}{-5}& = &-5 \\\Leftrightarrow & -2x \color{red}{-5}\color{blue}{+5}
& = &-5\color{blue}{+5} \\\Leftrightarrow &-2x
& = &0\\\Leftrightarrow & \color{red}{-2}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-2}x}{ \color{blue}-2}
& = & \frac{0}{-2} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-2}& = &13 \\\Leftrightarrow & -10x \color{red}{-2}\color{blue}{+2}
& = &13\color{blue}{+2} \\\Leftrightarrow &-10x
& = &15\\\Leftrightarrow & \color{red}{-10}x
& = &15\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{15}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{2} } & & \\ & V = \left\{ \frac{-3}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-4}& = &12 \\\Leftrightarrow & 13x \color{red}{-4}\color{blue}{+4}
& = &12\color{blue}{+4} \\\Leftrightarrow &13x
& = &16\\\Leftrightarrow & \color{red}{13}x
& = &16\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{16}{13} \\\Leftrightarrow & \color{green}{ x = \frac{16}{13} } & & \\ & V = \left\{ \frac{16}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-6}& = &-8 \\\Leftrightarrow & 13x \color{red}{-6}\color{blue}{+6}
& = &-8\color{blue}{+6} \\\Leftrightarrow &13x
& = &-2\\\Leftrightarrow & \color{red}{13}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{-2}{13} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{13} } & & \\ & V = \left\{ \frac{-2}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-5}& = &7 \\\Leftrightarrow & 7x \color{red}{-5}\color{blue}{+5}
& = &7\color{blue}{+5} \\\Leftrightarrow &7x
& = &12\\\Leftrightarrow & \color{red}{7}x
& = &12\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{12}{7} \\\Leftrightarrow & \color{green}{ x = \frac{12}{7} } & & \\ & V = \left\{ \frac{12}{7} \right\} & \\\end{align}\)