Problema Solution
a line segment that is 23ft is to be divided into three pieces. The second piece is to be 7 inches less than the first piece,and the third piece is to be twice as long as the second piece. What will be the length of each piece?
Answer provided by our tutors
let
x = the length of the first piece
y = the length of the second piece
z = the length of the third piece
a line segment that is 23 ft = 23*12 in is to be divided into three pieces
x + y + z = 23*12
the second piece is to be 7 inches less than the first piece
y = x - 7
the third piece is to be twice as long as the second piece
z = 2y
by solving the system of equations
x + y + z = 23*12
y = x - 7
z = 2y
we find
x = 74.25 in
y = 67.25 in
z = 134.5 in
click here to see the step by step solution of the system of equations