Question 370432
Find the value of a and b, where a and b are real numbers: 
2a + 6i +(2b +3)i = 4 - 7i
2a + 6i + 2bi + 3i = 4 - 7i
Combine like terms
2a + 9i + 2bi = 4 - 7i
2a + 2bi = 4 - 7i - 9i
2a + 2bi = 4 - 16i
Simplify, divide by 2
a + bi = 2 - 8i
From this simplified equation, we can see that:
a = 2, and b = -8
:
:
Check this by substituting these values for a and b in the original problem