document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362094>Question 362094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find all whole number solutions of each system using a table.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%3C+6+%2B+6+ ALIGN=MIDDLE  ALT=\"+3x+%3C+6+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   \r<BR>\n" );
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document.write( "Also under the '<' in the 2nd equation, there is a line under it, symbolizing that it is an inequality. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258103 by </B><A HREF=/tutors/aboutme.mpl?userid=HasanSahin><B>HasanSahin(52)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HasanSahin><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=HasanSahin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First system : x+y<8 and <BR>\n" );
document.write( "Second System : x<=4 if you want to solve these systems separately. \r<BR>\n" );
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document.write( "First think that x+y = 8 and plot this such that;<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+x+%2B+1+y+=+8 ALIGN=MIDDLE  ALT=\"1+x+%2B+1+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-1%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 8/1 = 8.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/1 = 8.</LI><LI>Slope is -1/1 = -1.</LI><LI> Equation in slope-intercept form: y=-1*x+8.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+8-8%2C+8%2B8%2C+8-8%2C+8%2B8%2C+-1%2Ax%2B8+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+8-8%2C+8%2B8%2C+8-8%2C+8%2B8%2C+-1%2Ax%2B8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "After then you will see that the original equation is x + y < 8 so that you have to modify your line like a discontinuous line(not ____ like _ _ _) and rake the below part of the line because you want the smaller values rather than 8. I hope I could explain it in here because I can not draw it..\r<BR>\n" );
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document.write( "The second system is also in same logic.. think like x =4 and plot it<BR>\n" );
document.write( "After then you will see that the original equation is x<= 4 so that at this time you do not have to modify your line because it includes 4 and rake the left part of the line because you want the smaller and equal values rather than 4.\r<BR>\n" );
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document.write( "RF.\r<BR>\n" );
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