document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149211>Question 149211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -x + y = 4\r<BR>\n" );
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document.write( "2x - 5y = -14\r<BR>\n" );
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document.write( "I am completely stuck on how to go about doing this problem.<BR>\n" );
document.write( "I know that the Solutions x and y are always intergers between 5 and -5.\r<BR>\n" );
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document.write( "Each time i try I come up with No Solution.<BR>\n" );
document.write( "But I am being told that is wrong.\r<BR>\n" );
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document.write( "x = ?<BR>\n" );
document.write( "Y = ?\r<BR>\n" );
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document.write( "If you could, please show me a few steps on How to get the answer<BR>\n" );
document.write( "to this problem.<BR>\n" );
document.write( "I would greatly appreciate your help\r<BR>\n" );
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document.write( "Thank You, <BR>\n" );
document.write( "Kerry G. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109479 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basics:<BR>\n" );
document.write( "You have 2 equations and 2 unknowns x, and y<BR>\n" );
document.write( "In that situation, you can ALWAYS solve for the unknowns<BR>\n" );
document.write( "Even if you had 30 equations and 30 unknowns, it would be<BR>\n" );
document.write( "more difficult, but you could still solve for each of<BR>\n" );
document.write( "your unknowns<BR>\n" );
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document.write( "In this problem you can use the simple laws of algebra<BR>\n" );
document.write( "to solve for x and y, mainly:<BR>\n" );
document.write( "Whatever you do to one side of the equation, you MUST<BR>\n" );
document.write( "do the same thing to the other side in order for the<BR>\n" );
document.write( "equation to still be true<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+y+=+4 ALIGN=MIDDLE  ALT=\"-x+%2B+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+x+%2B+y+=+4+%2B+x ALIGN=MIDDLE  ALT=\"-x+%2B+x+%2B+y+=+4+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On the left side, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >'s cancel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4+%2B+x ALIGN=MIDDLE  ALT=\"y+=+4+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's what I want: one of the unknowns all by itself<BR>\n" );
document.write( "Now I can replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the other equation with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+x ALIGN=MIDDLE  ALT=\"4+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > because it equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+5%2A%284+%2B+x%29+=+-14 ALIGN=MIDDLE  ALT=\"2x+-+5%2A%284+%2B+x%29+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I carry out the multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+20+-+5x+=+-14 ALIGN=MIDDLE  ALT=\"2x+-+20+-+5x+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+-+20+=+-14 ALIGN=MIDDLE  ALT=\"-3x+-+20+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+20+=+14 ALIGN=MIDDLE  ALT=\"3x+%2B+20+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+-6 ALIGN=MIDDLE  ALT=\"3x+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute this value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > back into either<BR>\n" );
document.write( "of the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+y+=+4 ALIGN=MIDDLE  ALT=\"-x+%2B+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-2%29+%2B+y+=+4 ALIGN=MIDDLE  ALT=\"-%28-2%29+%2B+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+y+=+4 ALIGN=MIDDLE  ALT=\"2+%2B+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<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;\" ><BR>\n" );
document.write( "The solutions are x = -2 and y = 2<BR>\n" );
document.write( "Now check the answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+%2B+y+=+4 ALIGN=MIDDLE  ALT=\"-x+%2B+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-2%29+%2B+2+=+4 ALIGN=MIDDLE  ALT=\"-%28-2%29+%2B+2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+2+=+4 ALIGN=MIDDLE  ALT=\"2+%2B+2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+4 ALIGN=MIDDLE  ALT=\"4+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+5y+=+-14 ALIGN=MIDDLE  ALT=\"2x+-+5y+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-2%29+-+5%2A2+=+-14 ALIGN=MIDDLE  ALT=\"2%2A%28-2%29+-+5%2A2+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+-+10+=+-14 ALIGN=MIDDLE  ALT=\"-4+-+10+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14+=+-14 ALIGN=MIDDLE  ALT=\"-14+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );