document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209799>Question 209799</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh>ALGERA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the two non right angles in a right triangle is, of course, 90 .If twice the first is 40 more than 3 times the second find the angles.<BR>\n" );
document.write( "pls help me to solve this one <BR>\n" );
document.write( "thank you very much for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158599 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a problem where you have 2 unknowns. You need to develop 2 equations containing these unknowns. Then you can solve the problem.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Let x = Angle #1<BR>\n" );
document.write( "Let y = Angle #2<BR>\n" );
document.write( "You already developed one equation:<BR>\n" );
document.write( "Equation #1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you need to use the information given to develop the second equation.<BR>\n" );
document.write( "Equation #2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=3y%2B40 ALIGN=MIDDLE  ALT=\"2x=3y%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have 2 equations and 2 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "use the substitution method to solve the equations:<BR>\n" );
document.write( "First, solve for y in Equation #1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=90-x ALIGN=MIDDLE  ALT=\"y=90-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, substitute this expression for y into Equation #2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=3y%2B40 ALIGN=MIDDLE  ALT=\"2x=3y%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=3%2890-x%29%2B40 ALIGN=MIDDLE  ALT=\"2x=3%2890-x%29%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sole for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=270-3x%2B40 ALIGN=MIDDLE  ALT=\"2x=270-3x%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=310 ALIGN=MIDDLE  ALT=\"5x=310\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=62%29 ALIGN=MIDDLE  ALT=\"highlight%28x=62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Finally, substitute this expression for x into Equation #1 and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=62%2By=90 ALIGN=MIDDLE  ALT=\"62%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=28%29 ALIGN=MIDDLE  ALT=\"highlight%28y=28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );