solve each of the following equation for real x and y. x+ 2yi =i -(-3+5i )
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Answer:
Solution for X.
x+2yi=i−(−3+5i)
Multiply 2 and i to get 2i.
x+2iy=i−(−3+5i)
Subtract −3+5i from i to get 3−4i.
x+2iy=3−4i
Subtract 2iy from both sides.
x=3−4i−2iy.
Solution For Y.
x+2yi=i−(−3+5i)
Multiply 2 and i to get 2i.
x+2iy=i−(−3+5i)
Subtract −3+5i from i to get 3−4i.
x+2iy=3−4i
Subtract x from both sides.
2iy=3−4i−x
Divide both sides by 2i.
2i
2iy
=
2i
3−4i−x
Dividing by 2i undoes the multiplication by 2i.
y=
2i
3−4i−x
Divide 3−4i−x by 2i.
y=
2
ix
+(−2−
2
3
Step-by-step explanation:
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