document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760423>Question 760423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -6x-4y=18<BR>\n" );
document.write( "4y=-6x-18<BR>\n" );
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document.write( "2x+2y=2<BR>\n" );
document.write( "Y=3-3x\r<BR>\n" );
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document.write( "Hello, I am trying to find the solution for the system of equations..please help. Ty </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462731 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=462731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Those equations are begging to get simplified and rearranged into an equivalent, simple, more standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-4y=18 ALIGN=MIDDLE  ALT=\"-6x-4y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y=-18 ALIGN=MIDDLE  ALT=\"6x%2B4y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=-9 ALIGN=MIDDLE  ALT=\"3x%2B2y=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (multiplying both sides of the equal sign times (-1) and then dividing by 2 both sides of the equal sign )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-6x-18 ALIGN=MIDDLE  ALT=\"4y=-6x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y=-18 ALIGN=MIDDLE  ALT=\"6x%2B4y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> Wait. I do not need to go further. Both equations are equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y=-18 ALIGN=MIDDLE  ALT=\"6x%2B4y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "They both represent the same line. There is an infinite number of (x,y) pairs that satisfy both equations:all the points on the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y=-18 ALIGN=MIDDLE  ALT=\"6x%2B4y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The equations in the next system represent lines that are not the same and are not parallel, so there is a unique (x,y) pair that is the solution of the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=2 ALIGN=MIDDLE  ALT=\"2x%2B2y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=1 ALIGN=MIDDLE  ALT=\"x%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1-x ALIGN=MIDDLE  ALT=\"y=1-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (a line with slope=-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3-3x ALIGN=MIDDLE  ALT=\"y=3-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (a line with slope=-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B2y=2%2Cy=3-3x%29 ALIGN=MIDDLE  ALT=\"system%282x%2B2y=2%2Cy=3-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=1%2Cy=3-3x%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=1%2Cy=3-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-x%2Cy=3-3x%29 ALIGN=MIDDLE  ALT=\"system%28y=1-x%2Cy=3-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-x%2C1-x=3-3x%29 ALIGN=MIDDLE  ALT=\"system%28y=1-x%2C1-x=3-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-x%2C1%2B2x=3%29 ALIGN=MIDDLE  ALT=\"system%28y=1-x%2C1%2B2x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-x%2C2x=2%29 ALIGN=MIDDLE  ALT=\"system%28y=1-x%2C2x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-x%2Cx=1%29 ALIGN=MIDDLE  ALT=\"system%28y=1-x%2Cx=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=1-1%2Cx=1%29 ALIGN=MIDDLE  ALT=\"system%28y=1-1%2Cx=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=0%2Cx=1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=0%2Cx=1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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