What is the answer to solvefor a,a+bi=a+ci ?

The answer to solvefor a,a+bi=a+ci is No Solution

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solvefor a,a+bi=a+ci

solve for

a, a + bi = a + c i

No Solution

Solution steps

a + bi = a + c i

Substitute

a = x + y i

x + y i + bi = x + y i + c i

Rewrite

x + y i + bi

in standard complex form:

x + (y + b) i

x + (y + b) i = x + y i + c i

Rewrite

x + y i + c i

in standard complex form:

x + (y + c) i

x + (y + b) i = x + (y + c) i

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

[x = x y + b = y + c]

[x = x y + b = y + c] : No Solution

Substitute back

a = x + y i

No Solution

(2 x + 12 y) + (x + y) i = 6 - 2 i

(a - 2 bi) - (b - ai) = 2 + i

a + bi = i

(a + 2 i) (b - i) = 3 + i

\frac{z - i}{z} = z + i

What is the answer to solvefor a,a+bi=a+ci ?
The answer to solvefor a,a+bi=a+ci is No Solution