SOLUTION: Find the value of a and b, where a and b are real numbers: 2a + 6i +(2b +3)i=4-7i

Question 370432: Find the value of a and b, where a and b are real numbers: 2a + 6i +(2b +3)i=4-7i
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
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