Résoudre une équation du premier degré dans CExercice

Quel est l'ensemble des solutions de chacune des équations suivantes dans \mathbb{C} ?

3iz-2i=4

S=\left\{\dfrac{2}{3}-\dfrac{4}{3}i \right\}

S=\left\{\dfrac{1}{3}-\dfrac{4}{3}i \right\}

S=\left\{\dfrac{2}{3}-\dfrac{1}{3}i \right\}

S=\left\{\dfrac{4}{3}-\dfrac{2}{3}i \right\}

5i+2iz=1

S=\left\{-\dfrac{5}{2}-\dfrac{1}{2}i \right\}

S=\left\{-\dfrac{1}{2}-\dfrac{5}{2}i \right\}

S=\left\{-\dfrac{5}{2}-\dfrac{5}{2}i \right\}

S=\left\{-\dfrac{5}{3}-\dfrac{1}{2}i \right\}

-iz+3i=9

S=\left\{9i+3 \right\}

S=\left\{9i-3 \right\}

S=\left\{3i+9 \right\}

S=\left\{3i-9 \right\}

-4iz-12i=8

S=\left\{-3+2i\right\}

S=\left\{-3-2i\right\}

S=\left\{3+2i\right\}

S=\left\{3-2i\right\}

3z-i\overline{z}=2i+4

S=\left\{\dfrac{7}{4}+\dfrac{5}{4}i \right\}

S=\left\{\dfrac{1}{4}+\dfrac{5}{4}i \right\}

S=\left\{\dfrac{3}{4}+\dfrac{5}{4}i \right\}

S=\left\{\dfrac{9}{4}+\dfrac{5}{4}i \right\}

2z+4i\overline{z}=3i-1

S=\left\{\dfrac{7}{6}-\dfrac{5}{6}i \right\}

S=\left\{\dfrac{7}{6}+\dfrac{5}{6}i \right\}

S=\left\{-\dfrac{7}{6}-\dfrac{5}{6}i \right\}

S=\left\{-\dfrac{7}{6}+\dfrac{5}{6}i \right\}