document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594529>Question 594529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve y=5x+11<BR>\n" );
document.write( "                 y=-4x-7?<BR>\n" );
document.write( "I've tried substitution and many other ways to solve the problem but it's complicated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376770 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=376770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 5x + 11<BR>\n" );
document.write( "y = -4x - 7<BR>\n" );
document.write( "There are many methods to solve this. When deciding which method to use, it is helpful to know how to pick a method which will be easy. For the substitution method, look for a variable that is already \"solved for\" or can easily be \"solved for\". (\"Solved for\" means the variable is by itself on one side of the equation.)<br><BR>\n" );
document.write( "Since the \"y\" is already \"solved for\" in the first equation (and the second, for that matter), the Substitution method will probably be easiest method.<br><BR>\n" );
document.write( "With this method, after you have solved for one of the variables in one of the equations, you substitute for that variable in the other equation. Since y is already \"solved for\" in the first equation we can substitute for y in the other equation. Replacing the y in the second equation with the 5x + 11 from the first equation we get:<BR>\n" );
document.write( "5x + 11 = -4x - 7<br><BR>\n" );
document.write( "We now have an equation of one variable. This is relatively easy to solve. Adding 4x to each side we get:<BR>\n" );
document.write( "9x + 11 = -7<BR>\n" );
document.write( "Subtracting 11 from each side we get:<BR>\n" );
document.write( "9x = -18<BR>\n" );
document.write( "Dividing by 9 we get:<BR>\n" );
document.write( "x = -2<br><BR>\n" );
document.write( "It is tempting to stop here. But we need both the x and the y of the solution. The next step is to use the value we got for x and substitute it into one of the original equations and solve for y. Substituting the -2 for x in the first equation we get:<BR>\n" );
document.write( "y = 5(-2) + 11<BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "y = -10 + 11<BR>\n" );
document.write( "y = 1<br><BR>\n" );
document.write( "So the solution to this system is the point (-2, 1) </SPAN>\n" );
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