document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147163>Question 147163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using sustitution method,answer presented as an ordered pair.<BR>\n" );
document.write( "8x-24y=16<BR>\n" );
document.write( "5x-10y=-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107498 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=107498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For this problem I would use elimination first, then substitution.  First manipulate the second expression so that you have something to eliminate.  Multiply it by 8/5 so that you end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-16y=-8 ALIGN=MIDDLE  ALT=\"8x-16y=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then multiply all that by negative one and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%2B16y=8 ALIGN=MIDDLE  ALT=\"-8x%2B16y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then add that expression to the first one and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8y=24 ALIGN=MIDDLE  ALT=\"-8y=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Divide by -8 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Once you have this, substitute the y value into the original equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-10y=-5 ALIGN=MIDDLE  ALT=\"5x-10y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B30=-5 ALIGN=MIDDLE  ALT=\"5x%2B30=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 30 from each side and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=-35 ALIGN=MIDDLE  ALT=\"5x=-35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 5 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7 ALIGN=MIDDLE  ALT=\"x=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Wanna check? Plug x and y back into the original <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-24y=16 ALIGN=MIDDLE  ALT=\"8x-24y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-56%2B72=16 ALIGN=MIDDLE  ALT=\"-56%2B72=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It's true! So x=-7 and y=-3.  The ordered pair format is (x,y), so plug in your solutions for x and y and get (-7,-3). </SPAN>\n" );
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