document.write( "Question 573700: In a dairy there are men and cows. Altogether there a 8 heads and 26 legs. How many cows and men are there? \n" ); document.write( "

Algebra.Com's Answer #368835 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = number of cows
\n" ); document.write( "Let $\"m\"$ = number of men
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+4c+%2B+2m+=+26+\"$
\n" ); document.write( "(2) $\"+c+%2B+m+=+8+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Multiply both sides of (2) by $\"2\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+4c+%2B+2m+=+26+\"$
\n" ); document.write( "(2) $\"+-2c+-+2m+=+-16+\"$
\n" ); document.write( " $\"+2c+=+10+\"$
\n" ); document.write( " $\"+c+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+c+%2B+m+=+8+\"$
\n" ); document.write( "(2) $\"+5+%2B+m+=+8+\"$
\n" ); document.write( "(2) $\"+m+=+3+\"$
\n" ); document.write( "There are 3 men and 5 cows
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+4c+%2B+2m+=+26+\"$
\n" ); document.write( "(1) $\"+4%2A5+%2B+2%2A3+=+26+\"$
\n" ); document.write( "(1) $\"+20+%2B+6+=+26+\"$
\n" ); document.write( "(1) $\"+26+=+26+\"$
\n" ); document.write( "OK \n" ); document.write( "

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