document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557027>Question 557027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -7x+y=11<BR>\n" );
document.write( "2x+4y=14<BR>\n" );
document.write( "how do i solve this using substitution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362441 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=362441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equations are:<BR>\n" );
document.write( "-7x+y=11<BR>\n" );
document.write( "2x+4y=14<BR>\n" );
document.write( "use one of the equations to solve for one of the variables in terms of the other variable.<BR>\n" );
document.write( "start with:<BR>\n" );
document.write( "-7x + y = 11<BR>\n" );
document.write( "add 7x to both sides of the equation to get:<BR>\n" );
document.write( "y = 7x + 11<BR>\n" );
document.write( "you have now solved for the variable of y in terms of x.<BR>\n" );
document.write( "now substitute for y in the second equation of:<BR>\n" );
document.write( "2x+4y=14 to get:<BR>\n" );
document.write( "2x + 4*(7x + 11) = 14<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "2x + 28x + 44 = 14<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "30x + 44 = 14<BR>\n" );
document.write( "subtract 44 from both sides of the equation to get:<BR>\n" );
document.write( "30x = -30<BR>\n" );
document.write( "divide both sides of the equation by 30 to get:<BR>\n" );
document.write( "x = -30/30 which becomes:<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "use that value of x in the first original equation to solve for y.<BR>\n" );
document.write( "the first original equation is:<BR>\n" );
document.write( "-7x+y=11<BR>\n" );
document.write( "substitute -1 for x in that equation to get:<BR>\n" );
document.write( "-7(-1) + y = 11<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "7 + y = 11<BR>\n" );
document.write( "subtract 7 from both sides of that equation to get:<BR>\n" );
document.write( "y = 11 - 7 which becomes:<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "your solution is:<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "substitute those values in the second original equation to confirm this answer is good.<BR>\n" );
document.write( "the second original equation is:<BR>\n" );
document.write( "2x+4y=14<BR>\n" );
document.write( "substitute -1 for x and 4 for y to get:<BR>\n" );
document.write( "2(-1) + 4(4) = 14<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-2 + 16 = 14<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "14 = 14<BR>\n" );
document.write( "this confirms the values for x and y are good because they provide solutions to both equations simultaneously,<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );