document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167677>Question 167677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of the variables:\r<BR>\n" );
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document.write( "one angle = 90 degrees<BR>\n" );
document.write( "one angle = (2x-11)<BR>\n" );
document.write( "one angle = (y+16)\r<BR>\n" );
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document.write( "two congruent sides are of the right angle\r<BR>\n" );
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document.write( "(2x-11)+(y+16) = 90 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123565 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the values of the variables:<BR>\n" );
document.write( "one angle = 90 degrees<BR>\n" );
document.write( "one angle = (2x-11)<BR>\n" );
document.write( "one angle = (y+16)<BR>\n" );
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document.write( "Since you have two unknowns  (x and y), you'll need two equations.<BR>\n" );
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document.write( "equation 1: (as you say)<BR>\n" );
document.write( "(2x-11)+(y+16) = 90<BR>\n" );
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document.write( "since there are two congruent sides:<BR>\n" );
document.write( "equation 2:<BR>\n" );
document.write( "(2x-11)=(y+16)<BR>\n" );
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document.write( "Solve equation 2 for x:<BR>\n" );
document.write( "(2x-11)=(y+16)<BR>\n" );
document.write( "2x-11 = y+16<BR>\n" );
document.write( "2x = y+27<BR>\n" );
document.write( "x = (1/2)(y+27)<BR>\n" );
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document.write( "Plug the above into equation 1 and solve for y:<BR>\n" );
document.write( "(2x-11)+(y+16) = 90<BR>\n" );
document.write( "(2(1/2)(y+27)-11)+(y+16) = 90<BR>\n" );
document.write( "y+27-11+y+16 = 90<BR>\n" );
document.write( "2y+27-11+16 = 90<BR>\n" );
document.write( "2y+16+16 = 90<BR>\n" );
document.write( "2y+32 = 90<BR>\n" );
document.write( "2y = 58<BR>\n" );
document.write( "y = 29<BR>\n" );
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document.write( "Plug it back into equation 2 to find x:<BR>\n" );
document.write( "(2x-11)=(y+16)<BR>\n" );
document.write( "(2x-11)=(29+16)<BR>\n" );
document.write( "2x-11=45<BR>\n" );
document.write( "2x=56<BR>\n" );
document.write( "x = 28<BR>\n" );
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document.write( "solution: <BR>\n" );
document.write( "x is 28<BR>\n" );
document.write( "y is 29\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );