A gardener is planting two types of trees:

Type A is 8 feet tall and grows at a rate of 6 inches per year.

Type B is 10 feet tall and grows at a rate of 4 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.

12 years

Step-by-step explanation:

8 feet = 96 inches

10 feet = 120 inches

96 + 6t = 120 + 4t

2t = 24

t = 12

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.