document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167328>Question 167328</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780030946776/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> i really need help with this math problem,\r<BR>\n" );
document.write( "\n" );
document.write( "(3,1);{x+3y=6<BR>\n" );
document.write( "      {4x-5y=7<BR>\n" );
document.write( "Tell whether the ordered pair is a solution of the given system </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123261 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3,1);{x+3y=6<BR>\n" );
document.write( "      {4x-5y=7<BR>\n" );
document.write( "Let's see thru 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;\" ><BR>\n" );
document.write( "1st eqn: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=6 ALIGN=MIDDLE  ALT=\"x%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=6-x ALIGN=MIDDLE  ALT=\"3y=6-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%283%29y%2Fcross%283%29=%286-x%29%2F3 ALIGN=MIDDLE  ALT=\"cross%283%29y%2Fcross%283%29=%286-x%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=y=%286%2F3%29-%281%2F3%29x ALIGN=MIDDLE  ALT=\"y=%286%2F3%29-%281%2F3%29x\"   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%2F3%29x%2B%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=%28-1%2F3%29x%2B%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=-1%2F3 ALIGN=MIDDLE  ALT=\"slope=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >; y-intercept=1/2<BR>\n" );
document.write( "f(y)=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x=1%2F2 ALIGN=MIDDLE  ALT=\"%281%2F3%29x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%281%2F3%29x%2Fcross%281%2F3%29=%281%2F2%29%2F%281%2F3%29 ALIGN=MIDDLE  ALT=\"cross%281%2F3%29x%2Fcross%281%2F3%29=%281%2F2%29%2F%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F2 ALIGN=MIDDLE  ALT=\"x=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's see the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C3%2C-3%2C3%2Cgrid%281%29%2Cgraph%28300%2C300%2C-3%2C3%2C-3%2C3%2C%28-1%2F3%29x%2B%281%2F2%29%29%2Ccircle%283%2F2%2C0%2C.2%29%2Ccircle%280%2C1%2F2%2C.20%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --> POINTS ARE NOT (3,1), <BR>\n" );
document.write( "Next, 2nd eqn: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5y=7 ALIGN=MIDDLE  ALT=\"4x-5y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5y=-4x%2B7 ALIGN=MIDDLE  ALT=\"-5y=-4x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-5%29y%2Fcross%28-5%29=%28-4x%2B7%29%2F-5 ALIGN=MIDDLE  ALT=\"cross%28-5%29y%2Fcross%28-5%29=%28-4x%2B7%29%2F-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-4%2F-5%29x%2B%287%2F-5%29 ALIGN=MIDDLE  ALT=\"y=%28-4%2F-5%29x%2B%287%2F-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%2F5%29x-%287%2F5%29 ALIGN=MIDDLE  ALT=\"y=%284%2F5%29x-%287%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=4%2F5 ALIGN=MIDDLE  ALT=\"slope=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y-intercept=-7/5<BR>\n" );
document.write( "f(y)=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29x=7%2F5 ALIGN=MIDDLE  ALT=\"%284%2F5%29x=7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%284%2F5%29x%2Fcross%284%2F5%29=%287%2F5%29%2F%284%2F5%29 ALIGN=MIDDLE  ALT=\"cross%284%2F5%29x%2Fcross%284%2F5%29=%287%2F5%29%2F%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%287%2F5%29%285%2F4%29=35%2F20=7%2F4 ALIGN=MIDDLE  ALT=\"x=%287%2F5%29%285%2F4%29=35%2F20=7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's see the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C3%2C-3%2C3%2Cgrid%281%29%2Cgraph%28300%2C300%2C-3%2C3%2C-3%2C3%2C%284%2F5%29x-%287%2F5%29%29%2Ccircle%287%2F4%2C0%2C.20%29%2Ccircle%280%2C-7%2F5%2C.20%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --> POINTS ARE NOT (3,1)<BR>\n" );
document.write( "So you see, two line eqn's don't have points(3,1)<BR>\n" );
document.write( "The question lies, when substitute to both eqn's points (3,1), does it satisfy the condition. Let's see:<BR>\n" );
document.write( "1st eqn: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=6 ALIGN=MIDDLE  ALT=\"x%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> subst--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=3%2Cy=1%29 ALIGN=MIDDLE  ALT=\"system%28x=3%2Cy=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B3%281%29=6 ALIGN=MIDDLE  ALT=\"3%2B3%281%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good!<BR>\n" );
document.write( "2nd eqn: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5y=7 ALIGN=MIDDLE  ALT=\"4x-5y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%283%29-5%281%29=12-5=7 ALIGN=MIDDLE  ALT=\"4%283%29-5%281%29=12-5=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good!<BR>\n" );
document.write( "Conclusion, POINTS (3,1) is a solution to both EQNs.<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );