document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684766>Question 684766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this system of equations using substitution (not elimination): 5x - 9y = 11 and 3x + 7y = 19. Please show me the step-by-step solution, as I would appreciate this very much. I tried doing this problem numerous times, but my solutions didn't make sense. I have a test soon, and I am worried I'll not be prepared. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424200 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=424200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve one the equations for x or y, then substitute that equation into the other for that variable.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "5x - 9y = 11<BR>\n" );
document.write( "5x = 11 + 9y<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F5+%2B+%289%2F5%29y ALIGN=MIDDLE  ALT=\"11%2F5+%2B+%289%2F5%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "3x + 7y = 19 ==> substitution<BR>\n" );
document.write( "3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F5+%2B+%289%2F5%29y ALIGN=MIDDLE  ALT=\"11%2F5+%2B+%289%2F5%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 7y = 19  ==> distriubte the 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%2F5+%2B+%2827%2F5%29y ALIGN=MIDDLE  ALT=\"33%2F5+%2B+%2827%2F5%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 7y = 19  ==> combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2F5%29+%2B+%2827%2F5%29y+%2B+7%285%2F5%29y+=+19 ALIGN=MIDDLE  ALT=\"%2833%2F5%29+%2B+%2827%2F5%29y+%2B+7%285%2F5%29y+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2F5%29+%2B+%2827%2F5%29y+%2B+%2835%2F5%29y+=+19 ALIGN=MIDDLE  ALT=\"%2833%2F5%29+%2B+%2827%2F5%29y+%2B+%2835%2F5%29y+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2F5%29+%2B+%2862%2F5%29y+=+19 ALIGN=MIDDLE  ALT=\"%2833%2F5%29+%2B+%2862%2F5%29y+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> isolate the y variable<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2862%2F5%29y+=+19+-+%2833%2F5%29 ALIGN=MIDDLE  ALT=\"%2862%2F5%29y+=+19+-+%2833%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2862%2F5%29y+=+19%285%2F5%29+-+%2833%2F5%29 ALIGN=MIDDLE  ALT=\"%2862%2F5%29y+=+19%285%2F5%29+-+%2833%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2862%2F5%29y+=+95%2F5+-+33%2F5 ALIGN=MIDDLE  ALT=\"%2862%2F5%29y+=+95%2F5+-+33%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2862%2F5%29y+=+62%2F5 ALIGN=MIDDLE  ALT=\"%2862%2F5%29y+=+62%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F62 ALIGN=MIDDLE  ALT=\"5%2F62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Plug the y variable into the equation to solve for x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F5+%2B+9%2F5+=+20%2F5+=+4 ALIGN=MIDDLE  ALT=\"11%2F5+%2B+9%2F5+=+20%2F5+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = 4, y = 1<BR>\n" );
document.write( "(4, 1) is the solution<BR>\n" );
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