Bepaal de waarde van x.
- \(4x+14=2\)
- \(7x-2=12\)
- \(14x-10=-15\)
- \(10x-1=13\)
- \(15x+15=-1\)
- \(6x-7=10\)
- \(-7x-3=7\)
- \(6x-12=1\)
- \(-6x-9=11\)
- \(11x-10=11\)
- \(-4x+10=-14\)
- \(-8x+8=-2\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 4x \color{red}{+14}& = &2 \\\Leftrightarrow & 4x \color{red}{+14}\color{blue}{-14}
& = &2\color{blue}{-14} \\\Leftrightarrow &4x
& = &-12\\\Leftrightarrow & \color{red}{4}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-12}{4} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-2}& = &12 \\\Leftrightarrow & 7x \color{red}{-2}\color{blue}{+2}
& = &12\color{blue}{+2} \\\Leftrightarrow &7x
& = &14\\\Leftrightarrow & \color{red}{7}x
& = &14\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{14}{7} \\\Leftrightarrow & \color{green}{ x = 2 } & & \\ & V = \left\{ 2 \right\} & \\\end{align}\)
- \(\begin{align} & 14x \color{red}{-10}& = &-15 \\\Leftrightarrow & 14x \color{red}{-10}\color{blue}{+10}
& = &-15\color{blue}{+10} \\\Leftrightarrow &14x
& = &-5\\\Leftrightarrow & \color{red}{14}x
& = &-5\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-5}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-5}{14} } & & \\ & V = \left\{ \frac{-5}{14} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-1}& = &13 \\\Leftrightarrow & 10x \color{red}{-1}\color{blue}{+1}
& = &13\color{blue}{+1} \\\Leftrightarrow &10x
& = &14\\\Leftrightarrow & \color{red}{10}x
& = &14\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{14}{10} \\\Leftrightarrow & \color{green}{ x = \frac{7}{5} } & & \\ & V = \left\{ \frac{7}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+15}& = &-1 \\\Leftrightarrow & 15x \color{red}{+15}\color{blue}{-15}
& = &-1\color{blue}{-15} \\\Leftrightarrow &15x
& = &-16\\\Leftrightarrow & \color{red}{15}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-16}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-16}{15} } & & \\ & V = \left\{ \frac{-16}{15} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-7}& = &10 \\\Leftrightarrow & 6x \color{red}{-7}\color{blue}{+7}
& = &10\color{blue}{+7} \\\Leftrightarrow &6x
& = &17\\\Leftrightarrow & \color{red}{6}x
& = &17\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{17}{6} \\\Leftrightarrow & \color{green}{ x = \frac{17}{6} } & & \\ & V = \left\{ \frac{17}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-3}& = &7 \\\Leftrightarrow & -7x \color{red}{-3}\color{blue}{+3}
& = &7\color{blue}{+3} \\\Leftrightarrow &-7x
& = &10\\\Leftrightarrow & \color{red}{-7}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{10}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-10}{7} } & & \\ & V = \left\{ \frac{-10}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-12}& = &1 \\\Leftrightarrow & 6x \color{red}{-12}\color{blue}{+12}
& = &1\color{blue}{+12} \\\Leftrightarrow &6x
& = &13\\\Leftrightarrow & \color{red}{6}x
& = &13\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{13}{6} \\\Leftrightarrow & \color{green}{ x = \frac{13}{6} } & & \\ & V = \left\{ \frac{13}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-9}& = &11 \\\Leftrightarrow & -6x \color{red}{-9}\color{blue}{+9}
& = &11\color{blue}{+9} \\\Leftrightarrow &-6x
& = &20\\\Leftrightarrow & \color{red}{-6}x
& = &20\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{20}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-10}{3} } & & \\ & V = \left\{ \frac{-10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-10}& = &11 \\\Leftrightarrow & 11x \color{red}{-10}\color{blue}{+10}
& = &11\color{blue}{+10} \\\Leftrightarrow &11x
& = &21\\\Leftrightarrow & \color{red}{11}x
& = &21\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{21}{11} \\\Leftrightarrow & \color{green}{ x = \frac{21}{11} } & & \\ & V = \left\{ \frac{21}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{+10}& = &-14 \\\Leftrightarrow & -4x \color{red}{+10}\color{blue}{-10}
& = &-14\color{blue}{-10} \\\Leftrightarrow &-4x
& = &-24\\\Leftrightarrow & \color{red}{-4}x
& = &-24\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{-24}{-4} \\\Leftrightarrow & \color{green}{ x = 6 } & & \\ & V = \left\{ 6 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{+8}& = &-2 \\\Leftrightarrow & -8x \color{red}{+8}\color{blue}{-8}
& = &-2\color{blue}{-8} \\\Leftrightarrow &-8x
& = &-10\\\Leftrightarrow & \color{red}{-8}x
& = &-10\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-10}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{5}{4} } & & \\ & V = \left\{ \frac{5}{4} \right\} & \\\end{align}\)