4 years ago

Which system is the solution of the graph?

Mathematics

1 answer:

antoniya [11.8K]4 years ago

3 0

Let me know what grade is learning this

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Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.

Step-by-step explanation:

Given : The combined height of one fir tree and one pine tree = 21 meters.

Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree.

Then we get the following equations:

$x+y=21...............(1)\\4x-y=24.........(2)$

Adding (1) and (2) we get

$5x=45\\\Rightarrow\ x=9$

Substitute the value of x in (1), we get

$9+y=21\\\Rightarrow\ y=21-9=12$

Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.

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