document.write( "Question 632950: write a system of two equation and use them to solve the following problem: two farmers were discussing how many chickens and cows they would purchase at market. the first farmer says to the second, \" I have just purchased 30 new heads and 100 feet.\" how many chicken and how many cows did the farmer purchase. \n" ); document.write( "

Algebra.Com's Answer #399304 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Let\r
\n" ); document.write( "\n" ); document.write( "Chickens = x
\n" ); document.write( "Cows = y\r
\n" ); document.write( "\n" ); document.write( "Thirty Heads
\n" ); document.write( "x+y=30
\n" ); document.write( "x=30-y...................(1)
\n" ); document.write( "Hundred Feet
\n" ); document.write( "2x+4y=100
\n" ); document.write( "2(x+2y)=100
\n" ); document.write( "2(x+2y)/2=100/2
\n" ); document.write( "x+2y=50...................(2)
\n" ); document.write( "Substitute the value of x from (1) to (2)
\n" ); document.write( "30-y+2y=50
\n" ); document.write( "30+y=50
\n" ); document.write( "y=50-30
\n" ); document.write( "y=20
\n" ); document.write( "put the value of y in (1)
\n" ); document.write( "x=30-y
\n" ); document.write( "x=30-20
\n" ); document.write( "x=10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Chickens = x = 10
\n" ); document.write( "Cows = y = 20 \n" ); document.write( "

\n" );