document.write( "Question 719870: What is the stes to find the values of x and y where x and y are real numbers (3x-4)+((5/3)yi=-6+5i \n" ); document.write( "

Algebra.Com's Answer #441552 by jsmallt9(3758) $\"\"$ $\"About$

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Two complex numbers in standard a + bi form are equal only if the real parts, the a's are equal the the imaginary parts, the b's are equal.

\n" ); document.write( "The real part (the part without any i's) of (3x-4)+((5/3)yi=-6+5i is 3x-4. So this must be equal to -6:
\n" ); document.write( "3x-4 = -6
\n" ); document.write( "Adding 4:
\n" ); document.write( "3x = -2
\n" ); document.write( "Divide by 3:
\n" ); document.write( "x = -2/3

\n" ); document.write( "The imaginary part (the part with the i's) of (3x-4)+((5/3)yi=-6+5i is (5/3)yi. So this must be equal to 5i:
\n" ); document.write( "(5/3)yi = 5i
\n" ); document.write( "or (5/3)y = 5
\n" ); document.write( "Multiplying by 3/5 we get:
\n" ); document.write( "y = 3 \n" ); document.write( "

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