Keiis asked in 科學及數學數學 · 10 years ago

EASY MATHS (QUICK)

Solve these pairs of simultaneous euations.2z+3w=20-7i

iz-2w=-6+6iThe ans is:

z=4-2i

w=4-i show workings

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  • 10 years ago
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    Solve these pairs of simultaneous euations.

    2z+3w=20-7i

    iz-2w=-6+6i

    Sol

    2(2z+3w)+3(iz-2w)=2(20-7i)+3(-6+6i)

    (4+3i)z=22+4i

    z=(22+4i)/(4+3i)

    =(22+4i)(4-3i)/[(4+3i)(4-3i)]

    =(88-66i+16i+12)/(16+9)

    =(100-50i)/25

    =4-2i

    3w=20-7i-2(4-2i)

    =20-7i-8+4i

    =12-3i

    w=4-i

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