document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817466>Question 817466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this, my teacher didn't fully explain it to us. <BR>\n" );
document.write( "7x+6y=2<BR>\n" );
document.write( "2x-3y=10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492069 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are several ways to solve this \"systems of linear equations\"<BR>\n" );
document.write( "one way is by the so-called \"elimination\" method.<BR>\n" );
document.write( "modify one of the equations so that after the modification, you can add the two equations and one of the terms will drop out of (add to zero), both equations:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "original:<BR>\n" );
document.write( "7x + 6y = 2<BR>\n" );
document.write( "2x - 3y = 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "modified the second equation:<BR>\n" );
document.write( "7x + 6y = 2<BR>\n" );
document.write( "(2)2x - (2)3y = (2)10\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "modified and simplified:<BR>\n" );
document.write( "7x + 6y = 2<BR>\n" );
document.write( "4x - 6y = 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now add the two modified and simplified equations:<BR>\n" );
document.write( "11x = 22<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now substitute x into either equation and solve for y:<BR>\n" );
document.write( "7(2) + 6y = 2<BR>\n" );
document.write( "6y = 2 - 7(2)<BR>\n" );
document.write( "6y = -12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );