Question

Determinați x,y pt care:
a) 2x-8i-xyi=10-xy-7xi
b)2(x+yi)+3(y-2xi)= 7-10i

Answer 1

[tex]a) 2x-8i-xyi = 10 - xy - 7xi 2x = 10 - xy \implies -xy = 2x - 10 \implies xy =10-2x 8 +xy = 7x \implies 8 - 2x + 10 = 7x \implies 18 = 9x \implies x = 2 2y = 10 - 4\implies 2y = 6 \implies y = 3[/tex]

[tex]b) 2x+2yi+3y-6xi = 7 - 10i 2x + 3y= 7 2y - 6x = - 10 \implies y - 3x = -5 \implies y = 3x-5 2x + 3(3x-5)=7 \implies 2x +9x-15=7 \implies 11x = 22 \implies x = 2 y= 3*2 -5 = 6 -5 =1 [/tex]

Ideea este sa separi partea reala de partea imaginara.