document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=793217>Question 793217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please  help me with this problem:\r<BR>\n" );
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document.write( "Find all solutions of the given system of equations and check your answer graphically. If the system is dependent, express your answer in terms of x, where y = y(x).)<BR>\n" );
document.write( "0.3x + 0.1y	 = 	0.7<BR>\n" );
document.write( "0.4x &#8722; 0.4y	 = 	1.2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480288 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=480288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would first multiply both sides of the equal sign times 10 (in both equations) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2By=7%2C4x-4y=12%29 ALIGN=MIDDLE  ALT=\"system%283x%2By=7%2C4x-4y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second equation can be simplified by dividing both sides by 4 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=3 ALIGN=MIDDLE  ALT=\"x-y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=7 ALIGN=MIDDLE  ALT=\"3x%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3x ALIGN=MIDDLE  ALT=\"y=7-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=3 ALIGN=MIDDLE  ALT=\"x-y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-%287-3x%29=3 ALIGN=MIDDLE  ALT=\"x-%287-3x%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7%2B3x=3 ALIGN=MIDDLE  ALT=\"x-7%2B3x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx=3%2B7 ALIGN=MIDDLE  ALT=\"x%2Bx=3%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=10 ALIGN=MIDDLE  ALT=\"2x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10%2F2 ALIGN=MIDDLE  ALT=\"x=10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3x ALIGN=MIDDLE  ALT=\"y=7-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3%2A%285%2F2%29 ALIGN=MIDDLE  ALT=\"y=7-3%2A%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-15%2F2 ALIGN=MIDDLE  ALT=\"y=7-15%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14%2F2-15%2F2 ALIGN=MIDDLE  ALT=\"y=14%2F2-15%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=7 ALIGN=MIDDLE  ALT=\"3x%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3x ALIGN=MIDDLE  ALT=\"y=7-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > goes through the points<BR>\n" );
document.write( "(0,7) because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3%2A0=7-0=7 ALIGN=MIDDLE  ALT=\"y=7-3%2A0=7-0=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "(3,-2) because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7-3%2A3=7-9=-2 ALIGN=MIDDLE  ALT=\"y=7-3%2A3=7-9=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=3 ALIGN=MIDDLE  ALT=\"x-y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > goes through the points<BR>\n" );
document.write( "(0,-3) because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-y=-3 ALIGN=MIDDLE  ALT=\"0-y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y=-3 ALIGN=MIDDLE  ALT=\"-y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "(3,0) because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-0=3 ALIGN=MIDDLE  ALT=\"x-0=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plotting the two points found for each line and connecting then, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-3%2C7%2Cgrid%281%29%2C%0D%0Ablue%28circle%280%2C7%2C0.3%29%29%2Cblue%28circle%283%2C-2%2C0.3%29%29%2Cblue%28line%280%2C7%2C4%2C-5%29%29%2C%0D%0Agreen%28circle%280%2C-3%2C0.3%29%29%2Cgreen%28circle%283%2C0%2C0.3%29%29%2Cgreen%28line%285%2C2%2C-5%2C-8%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );