document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59763>Question 59763</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help to solve please\r<BR>\n" );
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document.write( "The directions state to determine whether the system has one slutions, no solution or infinitely many solutions may you please help\r<BR>\n" );
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document.write( "y = -x + 2\r<BR>\n" );
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document.write( "3x + 3y = 6\r<BR>\n" );
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document.write( " </SPAN>\n" );
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document.write( "The directions state to determine whether the system has one slutions, no solution or infinitely many solutions may you please help\r<BR>\n" );
document.write( "\n" );
document.write( "y = -x + 2\r<BR>\n" );
document.write( "\n" );
document.write( "3x + 3y = 6\r<BR>\n" );
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document.write( "The easiest way to determine this is to put both equations into slope intercept form. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope, and b is the y-intercept.  If their slope (m) is different(even after you reduce) then there is one solution.  The their slope (m) is the same and their y-intercept (b) is different, the lines are parallel and will never intercect, so there is no solution.  If their slopes (m) are the same and the y-intercept (b)is the same they are graphically lying right on top of each other, they share all points and they have infinitely many solutions.<BR>\n" );
document.write( "y=-x+2  is already in slope intercept form, m=-1 and b=2<BR>\n" );
document.write( "3x+3y=6<BR>\n" );
document.write( "-3x+3x+3y=-3x+6<BR>\n" );
document.write( "3y=-3x+6<BR>\n" );
document.write( "3y/3=-3x/3+6/3<BR>\n" );
document.write( "y=-x+2 -->m=-1 and b=2<BR>\n" );
document.write( "There are infinitely many solutions.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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