document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97059>Question 97059</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131752049/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve by the method of you choice. Identify systems with no solution ad systems with infinitely many solutions, using set notation to express their solution sets.\r<BR>\n" );
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document.write( "6x + 2y = 7<BR>\n" );
document.write( "y = 2 - 3x\r<BR>\n" );
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document.write( "Please solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71305 by </B><A HREF=/tutors/aboutme.mpl?userid=kiljoy><B>kiljoy(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kiljoy><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=71305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We're going to rewrite the second equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2-3x ALIGN=MIDDLE  ALT=\"y=2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=2 ALIGN=MIDDLE  ALT=\"3x%2By=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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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+2%5Cy+=+7%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+2+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++6%5Cx+%2B+2%5Cy+=+7%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+2+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 2*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax+=+7+-+2%2Ay ALIGN=MIDDLE  ALT=\"6%2Ax+=+7+-+2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2F6+-+2%2Ay%2F6 ALIGN=MIDDLE  ALT=\"x+=+7%2F6+-+2%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=3%2A%287%2F6+-+2%2Ay%2F6%29+%2B+1%5Cy+=+2 ALIGN=MIDDLE  ALT=\"3%2A%287%2F6+-+2%2Ay%2F6%29+%2B+1%5Cy+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=3/2=0. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2F6+-+2%2Ay%2F6 ALIGN=MIDDLE  ALT=\"x+=+7%2F6+-+2%2Ay%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=0.166666666666667.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=0.166666666666667%2C+y=3%2F2=0+%29 ALIGN=MIDDLE  ALT=\"system%28+x=0.166666666666667%2C+y=3%2F2=0+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( " </SPAN>\n" );
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