Question

Solve the simultaneous equations

Giving each answer in the form , where and are real

Answer 1

Jawab:

Penjelasan dengan langkah-langkah:

iw + z = -(1+i)

2z - (1+i)w = 40/(6-2i) = 20(3+i)/(10) = 6+2i

z = -(1+i(w+1))

2(-(1+i(w+1)) - (1+i)w = 6+2i

-2-2iw-2i - w - iw = 6+2i

-w(3i+1) = 8+2i

w = -2(4+i)/(3i+1)

w = -2(4+i)(3i-1)/(-9-1)

w = (12i-4-9-i)/(5)

w = (11i-13)/(5)

w = -13/5 + 11/5 i

iw = -(11+13i)/(5)

iw+z = -(1+i)

-(11+13i)/5 + z = -(1+i)

11+13i - 5z = 5+5i

5z = 6+8i

z = (6+8i)/(5)

z = 6/5 + 8/5 i