document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63449>Question 63449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  Solve the system of equations using the addition (elimination) method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "x + 2y = 5<BR>\n" );
document.write( "3x + 4y = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.  Solve the system of equations using the addition (elimination) method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "5x – 4y = 1<BR>\n" );
document.write( "-10x + 8y = -3<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 #44152 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=44152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Solve the system of equations using the addition (elimination) method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "1st:  x + 2y = 5<BR>\n" );
document.write( "2nd: 3x + 4y = 1 <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Multiply 1st by 2 to get:<BR>\n" );
document.write( "3rd: 2x+4y = 10<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Subtract 3rd from 2nd to get:<BR>\n" );
document.write( "4th: x=-9<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Substitute x=-9 into 1st to solve for y, as follows:<BR>\n" );
document.write( "-9+2y=5<BR>\n" );
document.write( "2y=14<BR>\n" );
document.write( "y=7<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Final solution:<BR>\n" );
document.write( "x=-9. y=7<BR>\n" );
document.write( "--------------\r<BR>\n" );
document.write( "\n" );
document.write( "2. Solve the system of equations using the addition (elimination) method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "1st:  5x – 4y = 1<BR>\n" );
document.write( "2nd: -10x + 8y = -3<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Multiply 1st by 2 to get:<BR>\n" );
document.write( "3rd: 10x-8y=2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Add 3rd to 2nd to get:<BR>\n" );
document.write( "0.-1<BR>\n" );
document.write( "This is a contradiction and implies there <BR>\n" );
document.write( "is no solution to the system of equations.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );