document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5890>Question 5890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is on elimination...and it is also my last question... i just wanted you to check my answers to make sure that they were right.<BR>\n" );
document.write( "-1/3x-4/3y=-2<BR>\n" );
document.write( "1/3x-2/3y=4\r<BR>\n" );
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document.write( "My answer was (4,-4) Is this right?<BR>\n" );
document.write( "thank you so so much!~ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3075 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=3075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plug in 4,-4 to verify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3%2A4-4%2F3%2A-4=-2 ALIGN=MIDDLE  ALT=\"-1%2F3%2A4-4%2F3%2A-4=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F3-%28-16%2F3%29=-2 ALIGN=MIDDLE  ALT=\"-4%2F3-%28-16%2F3%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F3=-2 ALIGN=MIDDLE  ALT=\"12%2F3=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > not true (incorrect answer)\r<BR>\n" );
document.write( "\n" );
document.write( "multiply both equations by 3 to clear the denominators:<BR>\n" );
document.write( "-x-4y=-6<BR>\n" );
document.write( "x-2y=12\r<BR>\n" );
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document.write( "add them together:<BR>\n" );
document.write( "-6y=6<BR>\n" );
document.write( "y=-1\r<BR>\n" );
document.write( "\n" );
document.write( "substitute -1 in for y:<BR>\n" );
document.write( "-x-4y=-6<BR>\n" );
document.write( "-x-4(-1)=-6<BR>\n" );
document.write( "-x+4=-6<BR>\n" );
document.write( "-x=-10<BR>\n" );
document.write( "x=10\r<BR>\n" );
document.write( "\n" );
document.write( "substitute x=10 and y=-1 into the other equation to verify:<BR>\n" );
document.write( "x-2y=12<BR>\n" );
document.write( "10-2(-1)=12<BR>\n" );
document.write( "10+2=12  true statement, so the solution is (10,-1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );