document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377229>Question 377229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the multiplication principle first. Then use the elimination method:<BR>\n" );
document.write( "7p+5q=2<BR>\n" );
document.write( "8p-9q=17\r<BR>\n" );
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document.write( "I am not sure how to eliminate one of the factors.  There is no common multiple of either P or Q.  Please show me how to do this. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268075 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=268075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve using the multiplication principle first.<BR>\n" );
document.write( " Then use the elimination method:<BR>\n" );
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document.write( "7p + 5q = 2<BR>\n" );
document.write( "8p - 9q = 17<BR>\n" );
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document.write( "We will eliminate q, <BR>\n" );
document.write( "multiply the 1st equation by 9<BR>\n" );
document.write( "multiply the 2nd equation by 5 <BR>\n" );
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document.write( "63p + 45q = 18<BR>\n" );
document.write( "40p - 45q = 85<BR>\n" );
document.write( "-------------------adding eliminates q, find p<BR>\n" );
document.write( "103p = 103<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=103%2F103 ALIGN=MIDDLE  ALT=\"103%2F103\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = 1<BR>\n" );
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document.write( "then use the 1st equation to find q, replace p with 1:<BR>\n" );
document.write( "7(1) + 5q = 2<BR>\n" );
document.write( "5q = 2 - 7<BR>\n" );
document.write( "5q = -5<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2F5 ALIGN=MIDDLE  ALT=\"%28-5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = -1<BR>\n" );
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document.write( "Check solutions in the 2nd equation<BR>\n" );
document.write( "8(1) - 9(-1) = 17<BR>\n" );
document.write( "8 + 9 = 17, confirms our solution<BR>\n" );
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document.write( "You can always use the coefficient of a variable in one equation<BR>\n" );
document.write( "and multiply the same variable in the other equation, and vice versa<BR>\n" );
document.write( "to eliminate the variable.<BR>\n" );
document.write( "If the signs are different, add; If the signs are the same, subtract </SPAN>\n" );
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