document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142968>Question 142968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help with this system of linear equations will be appreciated.  \r<BR>\n" );
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document.write( "A bricklayer and an electrician together spend 90 hours working on a new house.  If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104022 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=104022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = number of hours spent by the bricklayer.<BR>\n" );
document.write( "Let y = number of hours spent by the electrician.<BR>\n" );
document.write( "From the problem description, you can write:<BR>\n" );
document.write( "1) x+y = 90 \"A bricklayer and an electrician together spend 90 hours...\"<BR>\n" );
document.write( "2) $12(x) + $16(y) = $1350 \"...the owner pays them a total of $1350 for their work,...\"<BR>\n" );
document.write( "Rewrite equation 1) as: x = 90-y and substitute into equation 2).<BR>\n" );
document.write( "2a) 12(90-y) + 16y = 1350 Simplify and solve for y.<BR>\n" );
document.write( "2a) 1080-12y + 16y = 1350<BR>\n" );
document.write( "2a) 1080 + 4y = 1350 Subtrct 1080 from both sides.<BR>\n" );
document.write( "2a) 4y = 270 Divide both sides by 4.<BR>\n" );
document.write( "2a) y = 67.5\r<BR>\n" );
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document.write( "x = 90-y<BR>\n" );
document.write( "x = 90-67.5<BR>\n" );
document.write( "x = 22.5<BR>\n" );
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document.write( "The bricklayer spent 22.5 hours on the house.<BR>\n" );
document.write( "The electrician spent 67.5 hours on the house.<BR>\n" );
document.write( " </SPAN>\n" );
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