document.write( "Question 1160221: There are x chickens and y rabbits on a farm. Given that the animals have a total of 70 heads and 196 legs, formulate a pair of simultaneous equations involving x and y. By solving the simultaneous equations, find the number of chickens and rabbits on the farm. \n" ); document.write( "
Algebra.Com's Answer #783453 by Theo(13342)\"\" \"About 
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chickens have 2 legs.
\n" ); document.write( "rabbits have 4.
\n" ); document.write( "chickens and rabbits have 1 head each.
\n" ); document.write( "let x = the number of chickens.
\n" ); document.write( "let y = the number of rabbits.
\n" ); document.write( "x + y = 70 is the equation for the total number of heads.
\n" ); document.write( "2x + 4y = 196 is the equation for the total number of legs.
\n" ); document.write( "these 2 equations need to be solved simultaneously to find out how many chickens and how many rabbits.
\n" ); document.write( "multiply both sides of the first equation by 2 and leave the second equation as is to get:
\n" ); document.write( "2x + 2y = 140
\n" ); document.write( "2x + 4y = 196
\n" ); document.write( "subtract the first equation from the second to get:
\n" ); document.write( "2y = 56
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 56/2 = 28
\n" ); document.write( "since x + y = 70, then x must be equal to 70 - 28 = 42
\n" ); document.write( "you have 42 chickens and 28 rabbits.
\n" ); document.write( "they each have 1 head, so x + y = 70 becomes 42 + 28 = 70 which is confirmed to be correct.
\n" ); document.write( "each chicken has 2 legs and each rabbit has 4 legs, so 2x + 4y = 196 becomes 42 * 2 + 28 * 4 = 84 + 112 = 196 is also confirmed to be correct.
\n" ); document.write( "your solution is that there are 42 chickens and 28 rabbits on the farm.\r
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