document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152245>Question 1152245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hardware company has two locations with a total of 26 employees. If four times the number of employees at the larger location is six less than seven times the number of employees at the smaller​ location, how many employees are at each​ location? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774223 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of employees at the larger location.<BR>\n" );
document.write( "y = number of employees at the smaller location.<BR>\n" );
document.write( "the two equations that need to be solved simultaneously are:<BR>\n" );
document.write( "x + y = 26<BR>\n" );
document.write( "4x = 7y - 6<BR>\n" );
document.write( "rearrange the second equation so that the variables are on the left and the constants are on the right, and leave the first equation as is to get:<BR>\n" );
document.write( "x + y = 26<BR>\n" );
document.write( "4x - 7y = -6\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 4 and leave the second equation as is to get:<BR>\n" );
document.write( "4x + 4y = 104<BR>\n" );
document.write( "4x - 7y = -6\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:<BR>\n" );
document.write( "11y = 110\r<BR>\n" );
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document.write( "solve for y to get:<BR>\n" );
document.write( "y = 110 / 11 = 10\r<BR>\n" );
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document.write( "solve for x to get x = 16\r<BR>\n" );
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document.write( "replace original equations with x = 16 and y = 10 to get:<BR>\n" );
document.write( "x + y = 26 becomes 16 + 10 = 26 which becomes 26 = 26.<BR>\n" );
document.write( "4x = 7y - 6 becomes 4 * 16 = 7 * 10 - 6 which becomes 64 = 64.\r<BR>\n" );
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document.write( "this confirms the values for x and y are correct.\r<BR>\n" );
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document.write( "your solution is that there are 16 employees at the larger location and 10 employees at the smaller location.<BR>\n" );
document.write( " </SPAN>\n" );
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