document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237538>Question 237538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by elimination.  \r<BR>\n" );
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document.write( "5x – 2y = -4<BR>\n" );
document.write( "4x – 7y = 3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174668 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=174668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by elimination. <BR>\n" );
document.write( "5x – 2y = -4<BR>\n" );
document.write( "4x – 7y = 3<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Multiply the 1st eq. by 4 and the 2nd equation by 5 to get:<BR>\n" );
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document.write( "20x - 8y = -16<BR>\n" );
document.write( "20x -35y = 15<BR>\n" );
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document.write( "Subtract the 3nd Eq. from the 1st and solv for \"y\":<BR>\n" );
document.write( "27y = - 31<BR>\n" );
document.write( "y = -31/27<BR>\n" );
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document.write( "Substitute into 5x - 2y = -4 to solve for \"x\":<BR>\n" );
document.write( "5x -2(-31/27) = -4<BR>\n" );
document.write( "5x = -62/27 - (108/27)<BR>\n" );
document.write( "5x = -170/27<BR>\n" );
document.write( "x = -34/27<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H </SPAN>\n" );
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