document.write( "Question 123815: There are 45 cows and chickens in the farmyard. One qiet afternoon, Jack counted and found that there were 106 legs in all. How many cows and how many chickens are there? \n" ); document.write( "
Algebra.Com's Answer #90832 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Let x = number of cows (4 legs each)
\n" ); document.write( "y= number of chickens (2 legs each)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x+y=45
\n" ); document.write( "4x+2y=106\r
\n" ); document.write( "\n" ); document.write( "Solve the system by multiplying first equation by -2:\r
\n" ); document.write( "\n" ); document.write( "-2x-2y=-90
\n" ); document.write( "4x+2y=106\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add the equations together:
\n" ); document.write( "2x=16
\n" ); document.write( "x= 8 cows
\n" ); document.write( "45-8=37 chickens\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "4*8+2*37
\n" ); document.write( "32+74=106 total legs\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "R^2
\n" ); document.write( "
\n" ); document.write( "
\n" );