document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997949>Question 997949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the systems of equations by substitution: <BR>\n" );
document.write( "3x+y= -8<BR>\n" );
document.write( "4x+3y=7<BR>\n" );
document.write( "I have been working with different types of equations all night on homework and I'm not sure if I just don't understand it or if I'm doing something small wrong I just can't seem to get the correct answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615852 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x+y= -8<BR>\n" );
document.write( "4x+3y= 7<BR>\n" );
document.write( "We can begin with either one of the equations, but since we have a \"y\" all by itself in the first equation, let's start with the first equation:<BR>\n" );
document.write( "3x+y= -8<BR>\n" );
document.write( "y= -8-3x<BR>\n" );
document.write( "Now we plug this value for y into the second equation (Warning: If we substitute into the same equation we would get a true, but useless, statement. Always substitute into the other equation)<BR>\n" );
document.write( "4x+3(-8-3x)= 7 Now we can solve for x:<BR>\n" );
document.write( "4x+-24-9x= 7<BR>\n" );
document.write( "= 4x-24-9x= 7 Add 24 on both sides and add x on left:<BR>\n" );
document.write( "-5x= 31<BR>\n" );
document.write( "x= 31/-5= -6 1/5 And y?:<BR>\n" );
document.write( "y= -8-3(-6 1/5)<BR>\n" );
document.write( "y= -8+18 3/5<BR>\n" );
document.write( "y= 26 3/5<BR>\n" );
document.write( "J </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );