document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997562>Question 997562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Solve the following simultaneous equations for x and y.<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.1. 7x+2y=1 and 4x+3y=8<BR>\n" );
document.write( "1.2. x+y=5 and x-y=3<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.3 x+3y=-30 and y=3x<BR>\n" );
document.write( "1.4. 2x+5y=9 and x+3y=5<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.5. (a+b)/3=2+2b and (2a-4b)/5=  23/5-b<BR>\n" );
document.write( "1.6. y=2x+3 and y=-3x–7<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.7.x+2y+3 =7x–y  and  2x–3y+16 =7x–y<BR>\n" );
document.write( "1.8. (x+y)/(3-y)=1/2 and (x-y)/(3+2y)=4<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 #615618 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Solve the following simultaneous equations for x and y.<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.1. 7x+2y=1 and 4x+3y=8<BR>\n" );
document.write( "Multiply the 1st eqn by 3, the 2nd by 2, then subtract.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "x+y=5<BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "--------------- Add<BR>\n" );
document.write( " =======================<BR>\n" );
document.write( "x+3y=-30 and y=3x<BR>\n" );
document.write( "Sub for y in the 1st eqn.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "2x+5y=9<BR>\n" );
document.write( "x+3y=5 --> x = -3y+5<BR>\n" );
document.write( "Sub for x in the 1st eqn<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Or, multiply the 2nd eqn by 2, then subtract.<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( " <BR>\n" );
document.write( "(a+b)/3=2+2b and (2a-4b)/5=  23/5-b<BR>\n" );
document.write( "Eliminate fractions.<BR>\n" );
document.write( "(a+b)/3=2+2b times 3 --> a+b = 6 + 6b<BR>\n" );
document.write( "(2a-4b)/5= 23/5-b times 5 --> 2a-4b = 23 - 5b<BR>\n" );
document.write( "Use one of the methods above.<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "y=2x+3 and y=-3x–7<BR>\n" );
document.write( "Sub for y<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "x+2y+3 =7x–y  and  2x–3y+16 =7x–y<BR>\n" );
document.write( "Collect terms, use a method from above.<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "(x+y)/(3-y)=1/2 and (x-y)/(3+2y)=4<BR>\n" );
document.write( "Eliminate fractions, collect terms, etc.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );