document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020227>Question 1020227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x+yi)(2-3i)=-13i.<BR>\n" );
document.write( "I want to find the values of x and y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636131 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Byi%29%282-3i%29=2x-3xi%2B2yi-3yi%5E2+=+%282x%2B3y%29%2B%282y-3x%29i+=+-13i ALIGN=MIDDLE  ALT=\"%28x%2Byi%29%282-3i%29=2x-3xi%2B2yi-3yi%5E2+=+%282x%2B3y%29%2B%282y-3x%29i+=+-13i\"   DISABLED_style= \"max-width:90%; height:auto;\" >, keeping in mind that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2+=+-1 ALIGN=MIDDLE  ALT=\"i%5E2+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> 2x +3y = 0 and 2y - 3x = -13<BR>\n" );
document.write( "Multiply the first equation by 3, giving 6x +9y = 0<BR>\n" );
document.write( "Multiply the second equation by 2, giving 4y - 6x = -26\r<BR>\n" );
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document.write( "Add the corresponding of the two resulting equations:<BR>\n" );
document.write( "13y = -26<BR>\n" );
document.write( "==> y = -26/13 = -2, and \r<BR>\n" );
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document.write( "==> x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29%2A%28-2%29+=+3 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29%2A%28-2%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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