document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148147>Question 148147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am trying to get this algebra down, and right now it is still not clicking. I am having trouble with solving by elimination.\r<BR>\n" );
document.write( "\n" );
document.write( "5x + 5y = -13<BR>\n" );
document.write( "7x - 2y = 19\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much for any help you can offer.<BR>\n" );
document.write( "Paula </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108544 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=108544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with solving by elimination. <BR>\n" );
document.write( "5x + 5y = -13<BR>\n" );
document.write( "7x - 2y = 19 <BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply thru 1st equation by 2 ; Multiply thru 2nd by 5.<BR>\n" );
document.write( "10x + 10y = -26<BR>\n" );
document.write( "35x - 10y = 95<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "By add the two equation you can eliminate the y-terms:<BR>\n" );
document.write( "45x = 69<BR>\n" );
document.write( "x = 23/15<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Substitute that value of x into one or other of the original equations<BR>\n" );
document.write( "to solve for \"y\":<BR>\n" );
document.write( "5(23/15) + 5y = -13<BR>\n" );
document.write( "23/3 + 5y = -13<BR>\n" );
document.write( "23/3 + 5y = -39/3<BR>\n" );
document.write( "5y = -62/3<BR>\n" );
document.write( "y = -62/15<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Check the answer in the other original equation (7x - 2y = 19) :<BR>\n" );
document.write( "7(23/15) -2(-62/15) = 19<BR>\n" );
document.write( "161/15 + 124/15 = 19<BR>\n" );
document.write( "285/15 = 19<BR>\n" );
document.write( "19 = 19<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" );