Agardener is planting two types of trees: type a is three feet tall and grows at a rate of 15 inches per year. type b is four feet tall and grows ata rate of 10 inches per year. algebraically determine exactly many years it will take for these trees to be the same heighthow

First, construct two equations.
Then, equal the two equations to each other like this -

x will be the years.

Type A. Type B

3x + 15 = 4x + 10
- 15. - 15

3x = 4x - 5
-4x. -4x

-x = -5
-x/-1 = -5/-1
x = 5

Check:

3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30

Therefore, the trees will be the same height in 5 years.