document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171488>Question 1171488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you verify if I have correctly used two unknowns and a system of equations to solve the two word problems below?\r<BR>\n" );
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document.write( "Solve each problem using two unknowns and a system of two equations.  Also check your work.\r<BR>\n" );
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document.write( "Problem 1:\r<BR>\n" );
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document.write( "One number is 7 more than another number.  The sum of these two numbers is 101.  What is the numbers?\r<BR>\n" );
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document.write( "x=y+7<BR>\n" );
document.write( "x+y= 101\r<BR>\n" );
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document.write( "(y+7) + y=101<BR>\n" );
document.write( "y+7+y=101<BR>\n" );
document.write( "2y=101-7<BR>\n" );
document.write( "2y=94<BR>\n" );
document.write( "y=47\r<BR>\n" );
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document.write( "x=47+7<BR>\n" );
document.write( "x=54\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "x=47+7=54\r<BR>\n" );
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document.write( "54+47=101\r<BR>\n" );
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document.write( "Problem 2:\r<BR>\n" );
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document.write( "The difference of two numbers is -1.  If twice the first number is added to three times the second number, the result is 13.  What are the numbers?\r<BR>\n" );
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document.write( "x-y=-1<BR>\n" );
document.write( "2x+3y=13\r<BR>\n" );
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document.write( "3(x-7)=3(-1)<BR>\n" );
document.write( "3x-3y=-3<BR>\n" );
document.write( "2x+3y=13<BR>\n" );
document.write( "5x=10<BR>\n" );
document.write( "x=2\r<BR>\n" );
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document.write( "2-y=-1<BR>\n" );
document.write( "-y=-1-2<BR>\n" );
document.write( "-y=-3<BR>\n" );
document.write( "y=3\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "2-3=-1\r<BR>\n" );
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document.write( "2(2)+3(3)=13<BR>\n" );
document.write( "4+9=13<BR>\n" );
document.write( "13=13\r<BR>\n" );
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document.write( "Thank you\r<BR>\n" );
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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 #796397 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Both are correct.\r<BR>\n" );
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