document.write( "Question 154388This question is from textbook Advanced Mathematics
\n" ); document.write( ": (2x+y) + (3-5x)i = 1 -7i solve for x & y\r
\n" ); document.write( "\n" ); document.write( "I lumped the i's and the numbers together then squared everything to get\r
\n" ); document.write( "\n" ); document.write( "29x^2+4xy-104x+y^2-2y=-101\r
\n" ); document.write( "\n" ); document.write( "The answer is x=2 & y=-3, but I can't get there.
\n" ); document.write( "

Algebra.Com's Answer #113676 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Collecting like terms is the correct first step
\n" ); document.write( "\"%282x%2By%29+%2B+%283-5x%29i+=+1+-7i\"
\n" ); document.write( "\"%282x+%2B+y+-1%29+%2B+%283%2B7+-5x%29i+=+0\"
\n" ); document.write( "\"%282x%2B+y+-1%29+%2B+%2810-5x%29i+=+0\"\r
\n" ); document.write( "\n" ); document.write( "For a complex number equal zero, both the real and the imaginary parts must be 0.
\n" ); document.write( "So
\n" ); document.write( "\"2x+%2B+y+-1+=+0\"
\n" ); document.write( "\"10-5x+=+0\"
\n" ); document.write( "\"-5x+=+-10\"
\n" ); document.write( "\"x+=+2\"\r
\n" ); document.write( "\n" ); document.write( "Substituting back into the real part
\n" ); document.write( "\"2x+%2B+y+-1+=+0\"
\n" ); document.write( "\"4+%2B+y+-+1+=+0\"
\n" ); document.write( "\"y+=+-3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Make sense now?
\n" ); document.write( "
\n" );