document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=794210>Question 794210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've tried to solve these linear equations <BR>\n" );
document.write( "-5x+3y=-5<BR>\n" );
document.write( "y=5/3x+1<BR>\n" );
document.write( " ...About five times but I keep getting 3=-5. Please explain to me what I am doing wrong and how I can correct my error. I'm supposed to find the Point of Intersect without graphing or calculators. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480590 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B3y=-5 ALIGN=MIDDLE  ALT=\"-5x%2B3y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F3%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%285%2F3%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2<BR>\n" );
document.write( "___________________________substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.2 in eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B3%28%285%2F3%29x%2B1%29=-5 ALIGN=MIDDLE  ALT=\"-5x%2B3%28%285%2F3%29x%2B1%29=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B3%285%2F3%29x%2B3=-5 ALIGN=MIDDLE  ALT=\"-5x%2B3%285%2F3%29x%2B3=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2Bcross%283%29%285%2Fcross%283%29%29x%2B3=-5 ALIGN=MIDDLE  ALT=\"-5x%2Bcross%283%29%285%2Fcross%283%29%29x%2B3=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B5x%2B3=-5 ALIGN=MIDDLE  ALT=\"-5x%2B5x%2B3=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cross%285x%29%2Bcross%285x%29%2B3=-5 ALIGN=MIDDLE  ALT=\"-cross%285x%29%2Bcross%285x%29%2B3=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<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;\" >.......no solution exist, lines have no intersection point\r<BR>\n" );
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document.write( "if you write both eq. in slope-intercept form <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=slope ALIGN=MIDDLE  ALT=\"m=slope\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-intercept ALIGN=MIDDLE  ALT=\"b=y-intercept\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=%285%2F3%29x-5%2F3 ALIGN=MIDDLE  ALT=\"+y=%285%2F3%29x-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F3%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%285%2F3%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2\r<BR>\n" );
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document.write( "as you can see, slopes are same, both lines have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%285%2F3%29 ALIGN=MIDDLE  ALT=\"m=%285%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it means lines are parallel\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+%285%2F3%29x-5%2F3%2C+%285%2F3%29x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%285%2F3%29x-5%2F3%2C+%285%2F3%29x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );