document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203310>Question 203310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve by substitution or elimination method:<BR>\n" );
document.write( "(1). 3x-2y=26<BR>\n" );
document.write( "     -7x+3y=-49\r<BR>\n" );
document.write( "\n" );
document.write( "(2). 4x-5y=14<BR>\n" );
document.write( "     -12x+15y=-42\r<BR>\n" );
document.write( "\n" );
document.write( "(3).  -2x+6y=19<BR>\n" );
document.write( "      10x-30y=-15  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153386 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=153386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve by substitution or elimination method:<BR>\n" );
document.write( "(1). <BR>\n" );
document.write( "3x-2y=26<BR>\n" );
document.write( "-7x+3y=-49 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply 1st equation by 3; Multiply 2nd equation by 2.<BR>\n" );
document.write( "  9x - 6y = 78<BR>\n" );
document.write( "-14x + 6y = -98<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Add the results to get rid of the y-terms:<BR>\n" );
document.write( "-5x = -20<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute into one of the equations to solve for \"y\":<BR>\n" );
document.write( "3*4 - 2y = 26<BR>\n" );
document.write( "-2y = 14<BR>\n" );
document.write( "y = -7<BR>\n" );
document.write( "-----------------------------------------------------------<BR>\n" );
document.write( "(2). <BR>\n" );
document.write( "  4x -5y = 14<BR>\n" );
document.write( "-12x +15y=-42 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru the 1st by 3:<BR>\n" );
document.write( "12x - 15y = 42<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add that equation to the 2nd (above) to get:<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "That means the equations are really just one equation.<BR>\n" );
document.write( "The solution for the \"system\" is (x,(4/5)x - (14/5))<BR>\n" );
document.write( "=========================================================\r<BR>\n" );
document.write( "\n" );
document.write( "(3). -2x+6y=19<BR>\n" );
document.write( "     10x-30y=-15 <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Multiply thru the 1st equation by 5 to get:<BR>\n" );
document.write( "-10x + 30y = 95<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add that to the 2nd equation to get:<BR>\n" );
document.write( "0 = 80<BR>\n" );
document.write( "That is a contradiction and means there<BR>\n" );
document.write( "is no solution.  The graphs would be parallel.<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" );