document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227714>Question 227714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -6-4y=-24<BR>\n" );
document.write( "2x+7y=13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169176 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -6-4y=-24  Equation A  (see Step 8 if you meant -6x-4y=-24)<BR>\n" );
document.write( "2x+7y=13   Equation B\r<BR>\n" );
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document.write( "Step 1. Solve for y in Equation A <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6-4y=-24 ALIGN=MIDDLE  ALT=\"-6-4y=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 2.  Add 6 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6-4y%2B6=-24%2B6 ALIGN=MIDDLE  ALT=\"-6-4y%2B6=-24%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y=-18 ALIGN=MIDDLE  ALT=\"-4y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  Divide by -4 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y%2F-4=-18%2F-4 ALIGN=MIDDLE  ALT=\"-4y%2F-4=-18%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=18%2F4=9%2F2 ALIGN=MIDDLE  ALT=\"y=18%2F4=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Now substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9%2F2 ALIGN=MIDDLE  ALT=\"y=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B7y=13 ALIGN=MIDDLE  ALT=\"2x%2B7y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B7%2A%289%2F2%29=13 ALIGN=MIDDLE  ALT=\"2x%2B7%2A%289%2F2%29=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B63%2F2=26%2F2 ALIGN=MIDDLE  ALT=\"2x%2B63%2F2=26%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63%2F2 ALIGN=MIDDLE  ALT=\"63%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B63%2F2-63%2F2=26%2F2-63%2F2 ALIGN=MIDDLE  ALT=\"2x%2B63%2F2-63%2F2=26%2F2-63%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=-37%2F2 ALIGN=MIDDLE  ALT=\"2x=-37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  Divide by 2 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-37%2F4 ALIGN=MIDDLE  ALT=\"x=-37%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-37%2F4 ALIGN=MIDDLE  ALT=\"x=-37%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9%2F2 ALIGN=MIDDLE  ALT=\"y=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 8.  Now, I'll assume you meant to  solve the following linear system of equations\r<BR>\n" );
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document.write( "-6x-4y=-24  Equation A  <BR>\n" );
document.write( "2x+7y=13   Equation B\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+-4%5Cy+=+-24%2C%0D%0A++++2%5Cx+%2B+7%5Cy+=+13+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++-6%5Cx+%2B+-4%5Cy+=+-24%2C%0D%0A++++2%5Cx+%2B+7%5Cy+=+13+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -4*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2Ax+=+-24+-+-4%2Ay ALIGN=MIDDLE  ALT=\"-6%2Ax+=+-24+-+-4%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-24%2F-6+-+-4%2Ay%2F-6 ALIGN=MIDDLE  ALT=\"x+=+-24%2F-6+-+-4%2Ay%2F-6\"   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%28-24%2F-6+-+-4%2Ay%2F-6%29+%2B+7%5Cy+=+13 ALIGN=MIDDLE  ALT=\"2%2A%28-24%2F-6+-+-4%2Ay%2F-6%29+%2B+7%5Cy+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=0.882352941176471. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-24%2F-6+-+-4%2Ay%2F-6 ALIGN=MIDDLE  ALT=\"x+=+-24%2F-6+-+-4%2Ay%2F-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=3.41176470588235.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=3.41176470588235%2C+y=0.882352941176471+%29 ALIGN=MIDDLE  ALT=\"system%28+x=3.41176470588235%2C+y=0.882352941176471+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
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