## Algebra 1: Common Core (15th Edition)

Let the number of goats be x and number of chickens be y. Thus we can say total number of animals will be, $x+y=23$ Each goat has 4 legs and chicken has 2, thus we get $4x+2y=74$ Now get have two equations and two variables. On multiplying the first by 2 and subtracting it from second we get, $(4x+2y)-2(x+y)=74-2\times23$ $4x+2y-2x-2y=28$ $2x=28$ Therefore, $x=14$ On putting it back in equation 1 we get, $y=9$ Number of goats = 14 Number of chickens = 9