document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66042>Question 66042</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>an incremental development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> use substitution to solve\r<BR>\n" );
document.write( "\n" );
document.write( "2x + 3y = 9<BR>\n" );
document.write( "5x - 2y = -25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46756 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use substitution to solve\r<BR>\n" );
document.write( "\n" );
document.write( "2x + 3y = 9<BR>\n" );
document.write( "5x - 2y = -25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ANSWER:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2x + 3y = 9 --------------(1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5x - 2y = -25-------------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Solve either one of the equations for one of the unknown variables by isolating that variable on one side of the equal sign....then the other unknown variable will be presebt on the other side of the equal sign.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So (1)==>  2x = 9 - 3y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = ( 1/2)( 9 - 3y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> -19y = -95\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substitute this value of x in equation (2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 5(9/2 -3y/2) - 2y = -25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 45/2 - 15y/2 - 2y = -25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multi ply both sides by 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 2*45/2 - 2*15y/2 - 2*2y = 2*-25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 45 - 15y - 4y = -50\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 45 - 19 y = -50\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subtract 45 from both sides...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 45 - 19y  - 45 = -50- 45\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> -19y = -95\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by -19\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> -19y/-19 = -95/-19\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==>  y = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we got value of y = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now substitute this value of y in ....x = ( 1/2)( 9 - 3y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = ( 1/2)( 9 - 3*5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = ( 1/2)( 9 - 15)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==>x = ( 1/2)(-6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==>  x = (1* -6)/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==>  x = -6/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = -3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the solution is x = -3 and y = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can check your answer by plugging these values in the given pair of equations....\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope you understood\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Regards.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "praseena.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );