document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764627>Question 764627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real numbers x and y that make the equation true.<BR>\n" );
document.write( "5 + yi = x + 3i<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465550 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) 5 + iy = x + i3<BR>\n" );
document.write( "In order for complex numbers to be equal the real parts have to be equal and the imaginary parts have to be equal. For (1) we have<BR>\n" );
document.write( "(2) 5 = x for the real parts, therefore<BR>\n" );
document.write( "(3) x = 5<BR>\n" );
document.write( "And for the imaginary parts we have<BR>\n" );
document.write( "(4) iy = i3, therefore<BR>\n" );
document.write( "(5) y = 3<BR>\n" );
document.write( "Answer: x = 5 and y = 3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );