document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72335>Question 72335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following 2 x 2 systems using substitutions<BR>\n" );
document.write( "2x - 5y= 21<BR>\n" );
document.write( "7x + 3y = 53 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51796 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=51796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x - 5y= 21<BR>\n" );
document.write( "7x + 3y = 53<BR>\n" );
document.write( "Lets start with changing the first equation to x equals;<BR>\n" );
document.write( "2x=21+5y<BR>\n" );
document.write( "x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F2 ALIGN=MIDDLE  ALT=\"21%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F2 ALIGN=MIDDLE  ALT=\"5y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now replace the x in the second equation;<BR>\n" );
document.write( "7(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F2 ALIGN=MIDDLE  ALT=\"21%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F2 ALIGN=MIDDLE  ALT=\"5y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)+3y=53<BR>\n" );
document.write( "Distribute the 7;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147%2F2 ALIGN=MIDDLE  ALT=\"147%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35y%2F2 ALIGN=MIDDLE  ALT=\"35y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+3y=53<BR>\n" );
document.write( "subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147%2F2 ALIGN=MIDDLE  ALT=\"147%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >from both sides and add like terms;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35y%2F2 ALIGN=MIDDLE  ALT=\"35y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+3y=53-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147%2F2 ALIGN=MIDDLE  ALT=\"147%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "get common  denominators so you can add or subtract fractions;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35y%2F2 ALIGN=MIDDLE  ALT=\"35y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2F2 ALIGN=MIDDLE  ALT=\"6y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=106%2F2 ALIGN=MIDDLE  ALT=\"106%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147%2F2 ALIGN=MIDDLE  ALT=\"147%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2F2 ALIGN=MIDDLE  ALT=\"41%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-41%2F2 ALIGN=MIDDLE  ALT=\"-41%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply each side by the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2F2 ALIGN=MIDDLE  ALT=\"41%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F41 ALIGN=MIDDLE  ALT=\"2%2F41\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2F2 ALIGN=MIDDLE  ALT=\"41%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-41%2F2 ALIGN=MIDDLE  ALT=\"-41%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F41 ALIGN=MIDDLE  ALT=\"2%2F41\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "y=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82%2F82 ALIGN=MIDDLE  ALT=\"82%2F82\"   DISABLED_style= \"max-width:90%; height:auto;\" >=-1<BR>\n" );
document.write( "Now replace the y in the first equation with -1;<BR>\n" );
document.write( "2x - 5(-1)= 21<BR>\n" );
document.write( "2x+5=21<BR>\n" );
document.write( "2x=16<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "so answer; y=-1, x=8<BR>\n" );
document.write( ":) </SPAN>\n" );
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