document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060660>Question 1060660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me. I'm want to solve this system of equation using the substitution method. <BR>\n" );
document.write( "-3x+3y=4<BR>\n" );
document.write( "-x+y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675542 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Can you please help me. I'm want to solve this system of equation using the substitution method. <BR>\n" );
document.write( "-3x+3y=4<BR>\n" );
document.write( "-x+y=3<BR>\n" );
document.write( "~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "-3x + 3y = 4,   (1)\r\n" );
document.write( "-x  +  y = 3    (2)\r\n" );
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document.write( "From (2), express y = 3+x and substitute this expression into equation (1) replacing y. You will get\r\n" );
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document.write( "-3x + 3(3+x) = 4.\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "-3x + 9 + 3x = 4.\r\n" );
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document.write( "9 = 4.\r\n" );
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document.write( "Absurd ?  Sure.  It means that the original system has no solutions.\r\n" );
document.write( "It is <U>inconsistent</U>. \r\n" );
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document.write( "One can see it immediately/instantly after seeing the original system.\r\n" );
document.write( "Indeed, multiply the second equation by 3. \r\n" );
document.write( "You will get an equivalent equation\r\n" );
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document.write( "-3x + 3y = 9.   (2')\r\n" );
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document.write( "Now compare (2') with (1). They have identical left sides, but different right sides.\r\n" );
document.write( "Such a system is <U>inconsistent</U>.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "For better understanding, see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of the linear system of two equations in two unknowns by the Substitution method</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of the linear system of two equations in two unknowns by the Elimination method</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Systems of two linear equations in two unknowns</U>\".\r<BR>\n" );
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