document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131011>Question 1131011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c<BR>\n" );
document.write( "{6x+ 7y = &#8722;9<BR>\n" );
document.write( "   2x+ 5y =5\r<BR>\n" );
document.write( "\n" );
document.write( "(x, y) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747614 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++6%5Cx+%2B+7%5Cy+=+-9%2C%0D%0A++++2%5Cx+%2B+5%5Cy+=+5+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++6%5Cx+%2B+7%5Cy+=+-9%2C%0D%0A++++2%5Cx+%2B+5%5Cy+=+5+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 7*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax+=+-9+-+7%2Ay ALIGN=MIDDLE  ALT=\"6%2Ax+=+-9+-+7%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-9%2F6+-+7%2Ay%2F6 ALIGN=MIDDLE  ALT=\"x+=+-9%2F6+-+7%2Ay%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-9%2F6+-+7%2Ay%2F6%29+%2B+5%5Cy+=+5 ALIGN=MIDDLE  ALT=\"2%2A%28-9%2F6+-+7%2Ay%2F6%29+%2B+5%5Cy+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=3. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-9%2F6+-+7%2Ay%2F6 ALIGN=MIDDLE  ALT=\"x+=+-9%2F6+-+7%2Ay%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=-5.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=-5%2C+y=3+%29 ALIGN=MIDDLE  ALT=\"system%28+x=-5%2C+y=3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) =(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );