document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344117>Question 344117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this linear system ( Three times one number increased by twice a second number is 29. Four times the first less three times the second is 16. Find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246301 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=246301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ( Three times one number increased by twice a second number is 29. Four times the first less three times the second is 16. Find the numbers<BR>\n" );
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document.write( "Two numbers, x & y<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"Three times one number increased by twice a second number is 29.\"<BR>\n" );
document.write( "3x + 2y = 29<BR>\n" );
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document.write( "\"Four times the first less three times the second is 16.\"<BR>\n" );
document.write( "4x - 3y = 16<BR>\n" );
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document.write( "We can use elimination here, <BR>\n" );
document.write( "Multiply the 1st equation by 3, multiply the 2nd equation by 2,<BR>\n" );
document.write( "9x + 6y = 87<BR>\n" );
document.write( "8x - 6y = 32<BR>\n" );
document.write( "---------------addition eliminates y, find x<BR>\n" );
document.write( "17x = 119<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=119%2F17 ALIGN=MIDDLE  ALT=\"119%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 7<BR>\n" );
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document.write( "Find y using the 1st equation, replace x with 7<BR>\n" );
document.write( "3(7) + 2y = 29<BR>\n" );
document.write( "21 + 2y = 29<BR>\n" );
document.write( "2y = 29 - 21<BR>\n" );
document.write( "2y = 8<BR>\n" );
document.write( "y = 4<BR>\n" );
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document.write( "Check solutions in the 2nd equation<BR>\n" );
document.write( "4x - 3y = 16<BR>\n" );
document.write( "4(7) - 3(4) = 16<BR>\n" );
document.write( "28 - 12 = 16; confirms our solution of x=7, y=4<BR>\n" );
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document.write( "How about this, did this make sense to you?  \r<BR>\n" );
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