document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370432>Question 370432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of a and b, where a and b are real numbers: 2a + 6i +(2b +3)i=4-7i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264235 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of a and b, where a and b are real numbers: <BR>\n" );
document.write( "2a + 6i +(2b +3)i = 4 - 7i<BR>\n" );
document.write( "2a + 6i + 2bi + 3i = 4 - 7i<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "2a + 9i + 2bi = 4 - 7i<BR>\n" );
document.write( "2a + 2bi = 4 - 7i - 9i<BR>\n" );
document.write( "2a + 2bi = 4 - 16i<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + bi = 2 - 8i<BR>\n" );
document.write( "From this simplified equation, we can see that:<BR>\n" );
document.write( "a = 2, and b = -8<BR>\n" );
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document.write( "Check this by substituting these values for a and b in the original problem </SPAN>\n" );
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