document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747319>Question 747319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Solve the following system of linear equations using either the substitution method or the addition method:<BR>\n" );
document.write( "	2x+y=5<BR>\n" );
document.write( "	4x+3y=14\r<BR>\n" );
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document.write( "Please help me solve this problems and each step in order to understand it.<BR>\n" );
document.write( "Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454824 by </B><A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><B>timvanswearingen(106)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><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=timvanswearingen><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I prefer to use elimination.  Here's how it goes.\r<BR>\n" );
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document.write( "You need to get either both x coefficients to be the same or both y's to be the same.  Multiplying the top equation by two would result in the x coefficients being the same.\r<BR>\n" );
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document.write( "So, multiplying the first equation by 2 gives you:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B2y=10 ALIGN=MIDDLE  ALT=\"4x%2B2y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now you need to line up the two equations like you would a subtraction problem.  We will be subtracting one equation from the other to eliminate the x's.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B2y=10 ALIGN=MIDDLE  ALT=\"4x%2B2y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "minus<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3y=14 ALIGN=MIDDLE  ALT=\"4x%2B3y=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Note:(As I'm new to the site, I'm not sure how to write this step best yet so I had to write the word minus rather than having them lined up one under the other and just having a minus sign off to the side to show that you'll be subtracting.)\r<BR>\n" );
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document.write( "So 4x-4x=0 so the x's have been eliminated.  \r<BR>\n" );
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document.write( "2y-3y=-y and 10-14=-4\r<BR>\n" );
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document.write( "Since the x's were eliminated, you're left with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y=-4 ALIGN=MIDDLE  ALT=\"-y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Multiply or divide both sides by negative one to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now, simply plug in your value for y into any equation from the problem.  <BR>\n" );
document.write( "I'll use,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=5 ALIGN=MIDDLE  ALT=\"2x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Plugging in 4 for y gives you\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4=5 ALIGN=MIDDLE  ALT=\"2x%2B4=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Subtract 4 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=1 ALIGN=MIDDLE  ALT=\"2x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Divide both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you have both x and y so your solution is the ordered pair (1/2,4) </SPAN>\n" );
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