document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=343480>Question 343480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is: You can find the years of Napoleon's birth and death by solving the following system: 3x-2y=1665 and -4x+3y=-1613. Napoleon crossed the Alps in 1797. How old was he when he crossed the Alps? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245806 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x-2y=1665_-4x+3y=-1613\r<BR>\n" );
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document.write( "Since -2y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2y to both sides.<BR>\n" );
document.write( "3x=2y+1665_-4x+3y=-1613\r<BR>\n" );
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document.write( "Divide each term in the equation by 3.<BR>\n" );
document.write( "(3x)/(3)=(2y)/(3)+(1665)/(3)_-4x+3y=-1613\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=(2y)/(3)+(1665)/(3)_-4x+3y=-1613\r<BR>\n" );
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document.write( "Combine the numerators of all expressions that have common denominators.<BR>\n" );
document.write( "x=(2y+1665)/(3)_-4x+3y=-1613\r<BR>\n" );
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document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is ((2y+1665))/(3).<BR>\n" );
document.write( "x=(2y+1665)/(3)_-4((2y+1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 2y+1665.<BR>\n" );
document.write( "x=(2y+1665)/(3)_-4((2y+1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Divide each term in the numerator by the denominator.<BR>\n" );
document.write( "x=(2y)/(3)+(1665)/(3)_-4((2y+1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Reduce the expression (1665)/(3) by removing a factor of 3 from the numerator and denominator.<BR>\n" );
document.write( "x=(2y)/(3)+555_-4((2y+1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 2y+1665.<BR>\n" );
document.write( "x=(2y)/(3)+555_-4((2y+1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Divide each term in the numerator by the denominator.<BR>\n" );
document.write( "x=(2y)/(3)+555_-4((2y)/(3)+(1665)/(3))+3y=-1613\r<BR>\n" );
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document.write( "Reduce the expression (1665)/(3) by removing a factor of 3 from the numerator and denominator.<BR>\n" );
document.write( "x=(2y)/(3)+555_-4((2y)/(3)+555)+3y=-1613\r<BR>\n" );
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document.write( "Multiply -4 by each term inside the parentheses.<BR>\n" );
document.write( "x=(2y)/(3)+555_-(8y)/(3)-2220+3y=-1613\r<BR>\n" );
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document.write( "Find the LCD (least common denominator) of -(8y)/(3)+3y+607.<BR>\n" );
document.write( "x=(2y)/(3)+555_Least common denominator: 3\r<BR>\n" );
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document.write( "Multiply each term in the equation by 3 in order to remove all the denominators from the equation.<BR>\n" );
document.write( "x=(2y)/(3)+555_-(8y)/(3)*3+3y*3=607*3\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=(2y)/(3)+555_y=607*3\r<BR>\n" );
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document.write( "Multiply 607 by 3 to get 1821.<BR>\n" );
document.write( "x=(2y)/(3)+555_y=1821\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 1821.<BR>\n" );
document.write( "x=(2(1821))/(3)+555_y=1821\r<BR>\n" );
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document.write( "Multiply 2 by 1821 in the numerator.<BR>\n" );
document.write( "x=(2*1821)/(3)+555_y=1821\r<BR>\n" );
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document.write( "Multiply 2 by 1821 to get 3642.<BR>\n" );
document.write( "x=(3642)/(3)+555_y=1821\r<BR>\n" );
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document.write( "Reduce the expression (3642)/(3) by removing a factor of 3 from the numerator and denominator.<BR>\n" );
document.write( "x=1214+555_y=1821\r<BR>\n" );
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document.write( "Add 555 to 1214 to get 1769.<BR>\n" );
document.write( "x=1769_y=1821\r<BR>\n" );
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document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "x=1769_<BR>\n" );
document.write( "y=1821\r<BR>\n" );
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document.write( "If he crossed the Alps in 1797 and was born in 1769, he was 28 years old. </SPAN>\n" );
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