document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176566>Question 176566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can you tell from the equations how many solutions the linear system has?\r<BR>\n" );
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document.write( "x-y=2 equation 1<BR>\n" );
document.write( "4x-4y=8 equation 2\r<BR>\n" );
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document.write( "how to solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131638 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if its the same line it has infinite solutions. If it has lines that intersect, which is the majority, it has one solution. If lines are parallel there is no solution<BR>\n" );
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document.write( "put the equations in slope intercept form and compare the slopes.<BR>\n" );
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document.write( "y=x-2<BR>\n" );
document.write( "4y=4x-8--->divide terms by 4--->y=x-2<BR>\n" );
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document.write( "meaning this is the same exact line...so it has infinite solutions.<BR>\n" );
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document.write( "remember if the slope is the same and its not the same line then NO solutions. all the rest intersect in one point,hence one solution. The slope is the key </SPAN>\n" );
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