Bepaal de waarde van x.
- \(4x+4=-8\)
- \(-6x-3=8\)
- \(-8x-5=-12\)
- \(-10x-5=9\)
- \(-10x-7=6\)
- \(-x+10=-9\)
- \(15x+9=-3\)
- \(2x+15=-13\)
- \(-7x-15=8\)
- \(11x+12=-5\)
- \(-x-14=-11\)
- \(-11x+8=-3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 4x \color{red}{+4}& = &-8 \\\Leftrightarrow & 4x \color{red}{+4}\color{blue}{-4}
& = &-8\color{blue}{-4} \\\Leftrightarrow &4x
& = &-12\\\Leftrightarrow & \color{red}{4}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{4}x}{ \color{blue}4}
& = & \frac{-12}{4} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -6x \color{red}{-3}& = &8 \\\Leftrightarrow & -6x \color{red}{-3}\color{blue}{+3}
& = &8\color{blue}{+3} \\\Leftrightarrow &-6x
& = &11\\\Leftrightarrow & \color{red}{-6}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{11}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{-11}{6} } & & \\ & V = \left\{ \frac{-11}{6} \right\} & \\\end{align}\)
- \(\begin{align} & -8x \color{red}{-5}& = &-12 \\\Leftrightarrow & -8x \color{red}{-5}\color{blue}{+5}
& = &-12\color{blue}{+5} \\\Leftrightarrow &-8x
& = &-7\\\Leftrightarrow & \color{red}{-8}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-8}x}{ \color{blue}-8}
& = & \frac{-7}{-8} \\\Leftrightarrow & \color{green}{ x = \frac{7}{8} } & & \\ & V = \left\{ \frac{7}{8} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-5}& = &9 \\\Leftrightarrow & -10x \color{red}{-5}\color{blue}{+5}
& = &9\color{blue}{+5} \\\Leftrightarrow &-10x
& = &14\\\Leftrightarrow & \color{red}{-10}x
& = &14\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{14}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-7}{5} } & & \\ & V = \left\{ \frac{-7}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -10x \color{red}{-7}& = &6 \\\Leftrightarrow & -10x \color{red}{-7}\color{blue}{+7}
& = &6\color{blue}{+7} \\\Leftrightarrow &-10x
& = &13\\\Leftrightarrow & \color{red}{-10}x
& = &13\\\Leftrightarrow & \frac{\color{red}{-10}x}{ \color{blue}-10}
& = & \frac{13}{-10} \\\Leftrightarrow & \color{green}{ x = \frac{-13}{10} } & & \\ & V = \left\{ \frac{-13}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{+10}& = &-9 \\\Leftrightarrow & -x \color{red}{+10}\color{blue}{-10}
& = &-9\color{blue}{-10} \\\Leftrightarrow &-x
& = &-19\\\Leftrightarrow & \color{red}{-}x
& = &-19\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{-19}{-1} \\\Leftrightarrow & \color{green}{ x = 19 } & & \\ & V = \left\{ 19 \right\} & \\\end{align}\)
- \(\begin{align} & 15x \color{red}{+9}& = &-3 \\\Leftrightarrow & 15x \color{red}{+9}\color{blue}{-9}
& = &-3\color{blue}{-9} \\\Leftrightarrow &15x
& = &-12\\\Leftrightarrow & \color{red}{15}x
& = &-12\\\Leftrightarrow & \frac{\color{red}{15}x}{ \color{blue}15}
& = & \frac{-12}{15} \\\Leftrightarrow & \color{green}{ x = \frac{-4}{5} } & & \\ & V = \left\{ \frac{-4}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 2x \color{red}{+15}& = &-13 \\\Leftrightarrow & 2x \color{red}{+15}\color{blue}{-15}
& = &-13\color{blue}{-15} \\\Leftrightarrow &2x
& = &-28\\\Leftrightarrow & \color{red}{2}x
& = &-28\\\Leftrightarrow & \frac{\color{red}{2}x}{ \color{blue}2}
& = & \frac{-28}{2} \\\Leftrightarrow & \color{green}{ x = -14 } & & \\ & V = \left\{ -14 \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{-15}& = &8 \\\Leftrightarrow & -7x \color{red}{-15}\color{blue}{+15}
& = &8\color{blue}{+15} \\\Leftrightarrow &-7x
& = &23\\\Leftrightarrow & \color{red}{-7}x
& = &23\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{23}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{-23}{7} } & & \\ & V = \left\{ \frac{-23}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 11x \color{red}{+12}& = &-5 \\\Leftrightarrow & 11x \color{red}{+12}\color{blue}{-12}
& = &-5\color{blue}{-12} \\\Leftrightarrow &11x
& = &-17\\\Leftrightarrow & \color{red}{11}x
& = &-17\\\Leftrightarrow & \frac{\color{red}{11}x}{ \color{blue}11}
& = & \frac{-17}{11} \\\Leftrightarrow & \color{green}{ x = \frac{-17}{11} } & & \\ & V = \left\{ \frac{-17}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -x \color{red}{-14}& = &-11 \\\Leftrightarrow & -x \color{red}{-14}\color{blue}{+14}
& = &-11\color{blue}{+14} \\\Leftrightarrow &-x
& = &3\\\Leftrightarrow & \color{red}{-}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-}x}{ \color{blue}-1}
& = & \frac{3}{-1} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+8}& = &-3 \\\Leftrightarrow & -11x \color{red}{+8}\color{blue}{-8}
& = &-3\color{blue}{-8} \\\Leftrightarrow &-11x
& = &-11\\\Leftrightarrow & \color{red}{-11}x
& = &-11\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-11}{-11} \\\Leftrightarrow & \color{green}{ x = 1 } & & \\ & V = \left\{ 1 \right\} & \\\end{align}\)