What is the answer to solvefor r,i= v/r ?

The answer to solvefor r,i= v/r is r=-vi

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solvefor r,i= v/r

solve for

r, i = \frac{v}{r}

r = - v i

Solution steps

i = \frac{v}{r}

Substitute

r = x + y i

i = \frac{v}{x + y i}

Multiply both sides by

x + y i

i (x + y i) = \frac{v}{x + y i} (x + y i)

Simplify

- y + i x = v

Rewrite

v

in standard complex form:

v + 0 i

- y + i x = v + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[- y = v x = 0]

[- y = v x = 0] : x = 0, y = - v

Substitute back

r = x + y i

r = - v i

5 x + i 5 y = 100, 5 y + i (5 x - 10 y) = 60 + i 80

x^{2} + (4 - 2 i) x + 3 = 0

y, (2 x - y) - 4 i = 12 + 2

(3 + 3 i) (a + bi) = 3 + 18 i

(x + y) + (- y + x) i = 5 + i

What is the answer to solvefor r,i= v/r ?
The answer to solvefor r,i= v/r is r=-vi