document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29732>Question 29732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could someone help me determine whether the system has one solution, no solution, or infinitely many solutions for the following problems?\r<BR>\n" );
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document.write( "y= -x+2<BR>\n" );
document.write( "3x+3y=6\r<BR>\n" );
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document.write( "Also this problem:\r<BR>\n" );
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document.write( "y= 2/3x<BR>\n" );
document.write( "2x-y= -4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16441 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=16441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st problem:<BR>\n" );
document.write( "Multiply the 1st equation by \"3\" to get:<BR>\n" );
document.write( "3y=-3x+6<BR>\n" );
document.write( "3y+3x=6<BR>\n" );
document.write( "This is the same as the 2nd equatin.<BR>\n" );
document.write( "So the two equations are really the same<BR>\n" );
document.write( "line.<BR>\n" );
document.write( "ONe line lies on top of the other.  Therefore<BR>\n" );
document.write( "there are an infinite number of solutions><BR>\n" );
document.write( "2nd Problem:<BR>\n" );
document.write( "Solve the 1nd equatin for \"y ot get:<BR>\n" );
document.write( "y=2x+4<BR>\n" );
document.write( "This line has a slope of 2 and an intercept of 4<BR>\n" );
document.write( "The other equation has a slope of 2/3 and intercept of 0<BR>\n" );
document.write( "The two lines are not the same; and they are not parallel;<BR>\n" );
document.write( "they will intersect at one point.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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