document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967533>Question 967533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> whats x and y for 8x+7y=-11 and 4x-3y=14? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591334 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=591334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "You need to solve the system of two linear equations in 2 unknowns\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%288x+%2B+7y+=+-11%2C%0D%0A4x+-+3y+=+14%29 ALIGN=MIDDLE  ALT=\"system%288x+%2B+7y+=+-11%2C%0D%0A4x+-+3y+=+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the second equation by &nbsp;2&nbsp; and then distract from the first equation. &nbsp;You will get \r<BR>\n" );
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document.write( "  8x + 7y = -11,<BR>\n" );
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document.write( "  8x - 6y =  28<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;13y =  28 + 11 = 39.\r<BR>\n" );
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document.write( "Hence, &nbsp;y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F13 ALIGN=MIDDLE  ALT=\"39%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.\r<BR>\n" );
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document.write( "Now, substitute the found value of &nbsp;y = 3&nbsp; into the either equation of your original system, &nbsp;for example, &nbsp;into the first equation. &nbsp;You will get \r<BR>\n" );
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document.write( "8x +7*3 = -11, &nbsp;&nbsp;or\r<BR>\n" );
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document.write( "8x + 21 = -11, &nbsp;&nbsp;or\r<BR>\n" );
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document.write( "8x = -11 - 21 = -32.\r<BR>\n" );
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document.write( "Hence, &nbsp;x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-32%29%2F8 ALIGN=MIDDLE  ALT=\"%28-32%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -4.\r<BR>\n" );
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document.write( "<B>Answer</B>. &nbsp;The solution of the system is x = -4, y = 3.\r<BR>\n" );
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document.write( "We applied here the &nbsp;<B>Elimination method</B>. \r<BR>\n" );
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document.write( "For solving systems of two linear equations in three unknowns 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-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/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/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometry interpretation of the linear system of two equations in two unknowns</A> &nbsp;and\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/Solving-word-probs-using-linear-systems-of-two-eqns-with-two-unknowns.lesson>Solving word problems using linear systems of two equations in two unknowns</A>.\r<BR>\n" );
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