document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278341>Question 278341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i am currently doing a section on this in my class called sloving linear equations by graphing and i dont understand how u do it can u help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202545 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=202545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you graph each equation separately.\r<BR>\n" );
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document.write( "the intersection of the graph of each equation is the solution that is common to all equations.\r<BR>\n" );
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document.write( "if in 2 dimensions, your equations would be something like:\r<BR>\n" );
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document.write( "5x + 6y = 3<BR>\n" );
document.write( "3x - 2y = 7\r<BR>\n" );
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document.write( "you graph these equations by solving for y in each equation.\r<BR>\n" );
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document.write( "in the first equation of 5x + 6y = 3, you solve for y to get y = (-5/6)*x + (3/6)\r<BR>\n" );
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document.write( "in the second equation of 3x - 2y = 7, you solve for y to get y = (3/2)*x - (7/2) \r<BR>\n" );
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document.write( "now you graph both equation.   the graph will look like this:\r<BR>\n" );
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document.write( "your answer will be the intersection of these lines.\r<BR>\n" );
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document.write( "that answer will be somewhere around x = 1.75 and y = -1.\r<BR>\n" );
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document.write( "to confirm, you need to solve the equations algebraically because graphing is difficult to pinpoint the solution exactly.\r<BR>\n" );
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document.write( "it allows you to get an idea where the actual solution will lie.\r<BR>\n" );
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document.write( "if you graph with the proper scale and you use graph paper, then the intersection will show up better than what I just showed you.\r<BR>\n" );
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document.write( "I'll solve these equations algebraically to show you where the actual solution lies.\r<BR>\n" );
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document.write( "the equations are:\r<BR>\n" );
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document.write( "5x + 6y = 3<BR>\n" );
document.write( "3x - 2y = 7\r<BR>\n" );
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document.write( "multiply the second equation by 3 to get:\r<BR>\n" );
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document.write( "5x + 6y = 3<BR>\n" );
document.write( "9x - 6y = 21\r<BR>\n" );
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document.write( "add the 2 equations together to get:\r<BR>\n" );
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document.write( "14x = 24\r<BR>\n" );
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document.write( "divide both sides of this equation by 14 to get x = 24/14 = 1.714285714\r<BR>\n" );
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document.write( "use that value of x to solve for y in the first equation to get y = -.928571429\r<BR>\n" );
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document.write( "the actual answer is:\r<BR>\n" );
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document.write( "x = 1.714285714 and y = -.928571429\r<BR>\n" );
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document.write( "as you can see from the graph, it would be impossible for you to spot that just by looking at the graph.\r<BR>\n" );
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document.write( "you can get the general vicinity, but you will not be able to get the exact answer.\r<BR>\n" );
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document.write( "solving by graphing is good to let you know if you even have a solution and where the solution will be near but it is not good to get the exact solution just by looking at the graph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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