document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935582>Question 935582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many solutions does the system of equations have?\r<BR>\n" );
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document.write( "3x+12y=20\r<BR>\n" );
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document.write( "y=-1/4x+5/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568838 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many solutions does the system of equations have?\r<BR>\n" );
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document.write( "3x+12y=20\r<BR>\n" );
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document.write( "y=-1/4x+5/3<BR>\n" );
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document.write( "Solve both equations for y, thereby placing them in slope-intercept form. Then inspect them.\r<BR>\n" );
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document.write( "3x + 12y = 20_____12y = - 3x + 20_____<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-+3x%29%2F12+%2B+20%2F12 ALIGN=MIDDLE  ALT=\"y+=+%28-+3x%29%2F12+%2B+20%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-+1%2F4%29x+%2B+5%2F3 ALIGN=MIDDLE  ALT=\"y+=+%28-+1%2F4%29x+%2B+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-+1%2F4%29x+%2B+5%2F3 ALIGN=MIDDLE  ALT=\"y+=+%28-+1%2F4%29x+%2B+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Already in slope-intercept form<BR>\n" );
document.write( "As seen, the equations are IDENTICAL, thereby leading to an INFINITE NUMBER of solutions. </SPAN>\n" );
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