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 #109461 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109461\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are several methods to solve this system of linear equations. <BR>\n" );
document.write( "We could graph both lines and look for the intersection point.<BR>\n" );
document.write( "Put both into slope-intercept form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2By=4 ALIGN=MIDDLE  ALT=\"-x%2By=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B4 ALIGN=MIDDLE  ALT=\"y=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=-5y=-2x-14 ALIGN=MIDDLE  ALT=\"-5y=-2x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2x-14%29%2F%28-5%29 ALIGN=MIDDLE  ALT=\"y=%28-2x-14%29%2F%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282x%2B14%29%2F5 ALIGN=MIDDLE  ALT=\"y=%282x%2B14%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x%2B4%2C%282x%2B14%29%2F5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x%2B4%2C%282x%2B14%29%2F5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks like a solution exists at (-2,2).<BR>\n" );
document.write( "Although this method worked for this system, it's not always clear what the exact answer is. <BR>\n" );
document.write( "The graphical method explains what you're really trying to do, find where lines intersect, if they do. <BR>\n" );
document.write( "We'll work it out using the substitution method, to get an exact answer.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2By=4 ALIGN=MIDDLE  ALT=\"-x%2By=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<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( "Use eq. 1 to get the variable y as an expression with x.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2By=4 ALIGN=MIDDLE  ALT=\"-x%2By=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B4 ALIGN=MIDDLE  ALT=\"y=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute this expression into eq. 2 and solve for x,<BR>\n" );
document.write( "2.<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=2x-5%28x%2B4%29=-14 ALIGN=MIDDLE  ALT=\"2x-5%28x%2B4%29=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5x-20=-14 ALIGN=MIDDLE  ALT=\"2x-5x-20=-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=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=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now back substitute into eq. 1 or 2 to solve for y,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B4 ALIGN=MIDDLE  ALT=\"y=x%2B4\"   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%2B4 ALIGN=MIDDLE  ALT=\"y=-2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );