Solve for z, and give your answer in the form a + bi

(conj) z+2z = 2+4i+conj (7+3i)

**conj refers to conjugate of a complex number

(a line on top of it)

The answer is z = 3 + i

z = a + bi

conj (z) = a - bi

conj (7 + 3i) = 7 - 3i

(conj) z + 2z = 2 + 4i + conj (7 + 3i)

a - bi + 2 (a + bi) = 2 + 4i + 7 - 3i

a - bi + 2a + 2bi = 2 + 4i + 7 - 3i

3a + bi = 9 + i

From here:

3a = 9 and bi = i

a = 9/3 b = i/i

a = 3 b = 1

z = a + bi

z = 3 + 1 * i

z = 3 + i