SOLUTION: "You plant a 14 in hemlock tree in your backyard that grows at a rate of 4 in a year and a 8 in spruce that grows 6 in a year. In how many years will the plant be the same height?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: "You plant a 14 in hemlock tree in your backyard that grows at a rate of 4 in a year and a 8 in spruce that grows 6 in a year. In how many years will the plant be the same height?       Log On


   



Question 22339: "You plant a 14 in hemlock tree in your backyard that grows at a rate of 4 in a year and a 8 in spruce that grows 6 in a year. In how many years will the plant be the same height? How tall will each tree be?". Please help!
P.S. Solve it as a linear equation.

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the height of the tree that it grows every year in inches.
14+4x=8+6x
4x=-6+6x
-2x=-6
-2x%2F-2=-6%2F-2
x=3
Hence, in 3 years they will be the same height.

14+4(3)=8+6(3)
14+12=8+18
26=26
Hence, they will be 26 inches tall in the next three years.