The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

The pine is 12 m tall and the fir is 12 m tall

Step-by-step explanation:

System of Equations

Let's call:

x = height of a pine tree

y = height of a fir tree

The combined height of one fir tree and one pine tree is 21 meters. This leads to the equation:

x + y = 21       [1]

The height of 4 fir trees is 24 meters taller than one pine tree:

4y = x + 24       [2]

From [1]:

x = 21 - y         [3]

Substituting in [2]:

4y = 21 - y + 24

Adding y:

5y = 45

Dividing by 5:

y = 9

Substituting in [3]:

x = 21 - 9 = 12

The pine is 12 m tall and the fir is 12 m tall

a c

step-by-step explanation:

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