document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58668>Question 58668</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321369580/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the systems of equation by substitution<BR>\n" );
document.write( "{x-5y=12<BR>\n" );
document.write( "{3x=4y=-2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "{2x-3y=5<BR>\n" );
document.write( "{5x=4y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40301 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the systems of equation by substitution<BR>\n" );
document.write( "{x-5y=12<BR>\n" );
document.write( "{3x=4y=-2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "{2x-3y=5<BR>\n" );
document.write( "{5x=4y=1<BR>\n" );
document.write( "You mis-typed both problems what did you mean to type?<BR>\n" );
document.write( "I'll do one, with my own guess as to what you might have meant.<BR>\n" );
document.write( "L1) x-5y=12<BR>\n" );
document.write( "L2) 3x+4y=-2<BR>\n" );
document.write( "***Solve L1) for x and sustitute that into L2) and solve for y.<BR>\n" );
document.write( "x-5y+5y=12+5y<BR>\n" );
document.write( "x=12+5y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3(12+5y)+4y=-2<BR>\n" );
document.write( "36+15y+4y=-2<BR>\n" );
document.write( "36+19y=-2<BR>\n" );
document.write( "-36+36+19y=-2-36<BR>\n" );
document.write( "19y=-38<BR>\n" );
document.write( "19y/19=-38/19<BR>\n" );
document.write( "y=-2<BR>\n" );
document.write( "***substitute -2 in for y in L1) and solve for x:<BR>\n" );
document.write( "x-5(-2)=12<BR>\n" );
document.write( "x+10=12<BR>\n" );
document.write( "x+10-10=12-10<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "The solution is (x,y)=(2,-2)<BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );