document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149176>Question 149176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Systems of equations:\r<BR>\n" );
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document.write( "find the solution to the system equations:<BR>\n" );
document.write( "3/2y-5=x<BR>\n" );
document.write( "3y-2x=12\r<BR>\n" );
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document.write( "Can you please help me step-by-step </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109462 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29y-5=x ALIGN=MIDDLE  ALT=\"%283%2F2%29y-5=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2x=12 ALIGN=MIDDLE  ALT=\"3y-2x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can solve a system of linear equations by the substitution method. <BR>\n" );
document.write( "You subsitute an expression for one variable from one equation into the other equation. <BR>\n" );
document.write( "Eq. 1 is an expression for x in terms of y. <BR>\n" );
document.write( "Substitute this term for x in eq. 2 and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2x=12 ALIGN=MIDDLE  ALT=\"3y-2x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2%28%283%2F2%29y-5%29=12 ALIGN=MIDDLE  ALT=\"3y-2%28%283%2F2%29y-5%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-3y%2B10=12 ALIGN=MIDDLE  ALT=\"3y-3y%2B10=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=12 ALIGN=MIDDLE  ALT=\"10=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Well that's not true. <BR>\n" );
document.write( "Your equations have led to a statement that is not true. <BR>\n" );
document.write( "Your system of linear equations is inconsistent and there is no solution.<BR>\n" );
document.write( "If you look at the system of equations graphically, it's clearer what's going on.<BR>\n" );
document.write( "First put the equation into slope intercept form, then graph.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29y-5=x ALIGN=MIDDLE  ALT=\"%283%2F2%29y-5=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29y=x%2B5 ALIGN=MIDDLE  ALT=\"%283%2F2%29y=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"y=%282%2F3%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%282%2F3%29%2A%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%282%2F3%29%2A%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2x=12 ALIGN=MIDDLE  ALT=\"3y-2x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=2x%2B12 ALIGN=MIDDLE  ALT=\"3y=2x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282x%2B12%29%2F3 ALIGN=MIDDLE  ALT=\"y=%282x%2B12%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%282%2F3%29%2A%28x%2B5%29%2C+%282x%2B12%29%2F3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "You see that the lines are parallel.<BR>\n" );
document.write( "That means, there is no point (x,y) where they meet.<BR>\n" );
document.write( "There is no solution.  </SPAN>\n" );
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