Bepaal de waarde van x.
- \(7x+12=6\)
- \(6x-7=-13\)
- \(-4x-1=12\)
- \(-x-14=-14\)
- \(13x-15=12\)
- \(4x-11=-13\)
- \(11x-7=-8\)
- \(-10x-11=-9\)
- \(-5x+14=-6\)
- \(-8x-4=-10\)
- \(-7x-10=4\)
- \(15x-2=12\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 7x \color{red}{+12}& = &6 \\\Leftrightarrow & 7x \color{red}{+12}\color{blue}{-12}
& = &6\color{blue}{-12} \\\Leftrightarrow &7x
& = &-6\\\Leftrightarrow & \color{red}{7}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-6}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{7} } & & \\ & V = \left\{ \frac{-6}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{-7}& = &-13 \\\Leftrightarrow & 6x \color{red}{-7}\color{blue}{+7}
& = &-13\color{blue}{+7} \\\Leftrightarrow &6x
& = &-6\\\Leftrightarrow & \color{red}{6}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-6}{6} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-1}& = &12 \\\Leftrightarrow & -4x \color{red}{-1}\color{blue}{+1}
& = &12\color{blue}{+1} \\\Leftrightarrow &-4x
& = &13\\\Leftrightarrow & \color{red}{-4}x
& = &13\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{13}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{4} } & & \\ & V = \left\{ \frac{-13}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-14}& = &-14 \\\Leftrightarrow & -x \color{red}{-14}\color{blue}{+14}
& = &-14\color{blue}{+14} \\\Leftrightarrow &-x
& = &0\\\Leftrightarrow & \color{red}{-}x
& = &0\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{0}{-1} \\\Leftrightarrow & \color{green}{ x = 0 } & & \\ & V = \left\{ 0 \right\} & \\\end{align}\)
- \(\begin{align} & 13x \color{red}{-15}& = &12 \\\Leftrightarrow & 13x \color{red}{-15}\color{blue}{+15}
& = &12\color{blue}{+15} \\\Leftrightarrow &13x
& = &27\\\Leftrightarrow & \color{red}{13}x
& = &27\\\Leftrightarrow & \frac{\color{red}{13}x}{ \color{blue}13}
& = & \frac{27}{13} \\\Leftrightarrow & \color{green}{ x = \frac{27}{13} } & & \\ & V = \left\{ \frac{27}{13} \right\} & \\\end{align}\)
- \(\begin{align} & 4x \color{red}{-11}& = &-13 \\\Leftrightarrow & 4x \color{red}{-11}\color{blue}{+11}
& = &-13\color{blue}{+11} \\\Leftrightarrow &4x
& = &-2\\\Leftrightarrow & \color{red}{4}x
& = &-2\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-2}{4} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{2} } & & \\ & V = \left\{ \frac{-1}{2} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{-7}& = &-8 \\\Leftrightarrow & 11x \color{red}{-7}\color{blue}{+7}
& = &-8\color{blue}{+7} \\\Leftrightarrow &11x
& = &-1\\\Leftrightarrow & \color{red}{11}x
& = &-1\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{-1}{11} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{11} } & & \\ & V = \left\{ \frac{-1}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-11}& = &-9 \\\Leftrightarrow & -10x \color{red}{-11}\color{blue}{+11}
& = &-9\color{blue}{+11} \\\Leftrightarrow &-10x
& = &2\\\Leftrightarrow & \color{red}{-10}x
& = &2\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{2}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{5} } & & \\ & V = \left\{ \frac{-1}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+14}& = &-6 \\\Leftrightarrow & -5x \color{red}{+14}\color{blue}{-14}
& = &-6\color{blue}{-14} \\\Leftrightarrow &-5x
& = &-20\\\Leftrightarrow & \color{red}{-5}x
& = &-20\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{-20}{-5} \\\Leftrightarrow & \color{green}{ x = 4 } & & \\ & V = \left\{ 4 \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{-4}& = &-10 \\\Leftrightarrow & -8x \color{red}{-4}\color{blue}{+4}
& = &-10\color{blue}{+4} \\\Leftrightarrow &-8x
& = &-6\\\Leftrightarrow & \color{red}{-8}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-6}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{3}{4} } & & \\ & V = \left\{ \frac{3}{4} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-10}& = &4 \\\Leftrightarrow & -7x \color{red}{-10}\color{blue}{+10}
& = &4\color{blue}{+10} \\\Leftrightarrow &-7x
& = &14\\\Leftrightarrow & \color{red}{-7}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{14}{-7} \\\Leftrightarrow & \color{green}{ x = -2 } & & \\ & V = \left\{ -2 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{-2}& = &12 \\\Leftrightarrow & 15x \color{red}{-2}\color{blue}{+2}
& = &12\color{blue}{+2} \\\Leftrightarrow &15x
& = &14\\\Leftrightarrow & \color{red}{15}x
& = &14\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{14}{15} \\\Leftrightarrow & \color{green}{ x = \frac{14}{15} } & & \\ & V = \left\{ \frac{14}{15} \right\} & \\\end{align}\)