document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930680>Question 930680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many solutions will this system of equations have?\r<BR>\n" );
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document.write( "y = -3.5x - 3.5<BR>\n" );
document.write( "y = -3.5x + 3.5 </SPAN>\n" );
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document.write( "slope-intercept form of linear equation is <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;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is slope and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is y-intercept\r<BR>\n" );
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document.write( "you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-3.5x+-+3.5 ALIGN=MIDDLE  ALT=\"y+=+-3.5x+-+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=-3.5 ALIGN=MIDDLE  ALT=\"m%5B1%5D=-3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=-3.5 ALIGN=MIDDLE  ALT=\"b%5B1%5D=-3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-3.5x+%2B+3.5 ALIGN=MIDDLE  ALT=\"y+=+-3.5x+%2B+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-3.5 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B2%5D=3.5 ALIGN=MIDDLE  ALT=\"b%5B2%5D=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "as you can see, both lines have same slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.5 ALIGN=MIDDLE  ALT=\"-3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but different y-intercepts\r<BR>\n" );
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document.write( "if both lines have same slope they will never cross, they are parallel; so, this system is called inconsistent \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3.5x+-+3.5%2C+-3.5x+%2B+3.5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3.5x+-+3.5%2C+-3.5x+%2B+3.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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