document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131556>Question 131556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving Linear Systems:<BR>\n" );
document.write( "Use substitution to solve the linear system. Then check your solution.\r<BR>\n" );
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document.write( "x - 2y = 9<BR>\n" );
document.write( "1.5x + 0.5y = 6.5\r<BR>\n" );
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document.write( "I understand how to solve the first equation, but I don't understand how to substitute the x answer into the second equation to be able to find the value of y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96032 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2y+=+9 ALIGN=MIDDLE  ALT=\"x+-+2y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5x+%2B+0.5y+=+6.5 ALIGN=MIDDLE  ALT=\"1.5x+%2B+0.5y+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I presume you took the first equation and did something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B9 ALIGN=MIDDLE  ALT=\"x=2y%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "All you have to do is replace x in the second equation with 2y + 9 and then solve for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28red%281.5x%29+%2B+0.5y+=+6.5%2Cred%281.5%282y%2B9%29%29+%2B+0.5y+=+6.5%29 ALIGN=MIDDLE  ALT=\"cartoon%28red%281.5x%29+%2B+0.5y+=+6.5%2Cred%281.5%282y%2B9%29%29+%2B+0.5y+=+6.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%282y%2B9%29+%2B+0.5y+=+6.5 ALIGN=MIDDLE  ALT=\"1.5%282y%2B9%29+%2B+0.5y+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B13.5%2B0.5y=6.5 ALIGN=MIDDLE  ALT=\"3y%2B13.5%2B0.5y=6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5y%2B13.5=6.5 ALIGN=MIDDLE  ALT=\"3.5y%2B13.5=6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5y=6.5-13.5 ALIGN=MIDDLE  ALT=\"3.5y=6.5-13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5y=-7 ALIGN=MIDDLE  ALT=\"3.5y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that you know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can substitute that value into either of the equations so that you can solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28x+-+red%282y%29+=+9%2Cx-red%282%28-2%29%29=9%29 ALIGN=MIDDLE  ALT=\"cartoon%28x+-+red%282y%29+=+9%2Cx-red%282%28-2%29%29=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=9 ALIGN=MIDDLE  ALT=\"x%2B4=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solution set is the ordered pair (5,-2).\r<BR>\n" );
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document.write( "Check your answer by substitution, the ordered pair coordinates should make both equations true statements:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-%28-2%29=9 ALIGN=MIDDLE  ALT=\"5-%28-2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9 ALIGN=MIDDLE  ALT=\"9=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > True<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%285%29+%2B+0.5%28-2%29+=+6.5 ALIGN=MIDDLE  ALT=\"1.5%285%29+%2B+0.5%28-2%29+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5-1=6.5 ALIGN=MIDDLE  ALT=\"7.5-1=6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.5=6.5 ALIGN=MIDDLE  ALT=\"6.5=6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > True.\r<BR>\n" );
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document.write( "You can also graph both lines to see if they intersect at (5,-2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%2F2-9%2F2%2C-3x%2B13%29%2C%0D%0Alocate%285%2C-2%2CS%285%2C-2%29%29%2C%0D%0Acircle%285%2C-2%2C.1%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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