The short piece is 3 feet long
Step-by-step explanation:
The given is:
We need to find how long is the short piece is
Assume that the length of the short piece is x feet, and the length of long piece is y feet
∵ x represents the length of the short piece
∵ y represents the length of the long piece
∵ The length of the board is 9 foot
∴ x + y = 9 ⇒ (1)
∵ The long piece is twice as long as the short one
∴ y = 2x ⇒ (2)
Now we have a system of equation to solve it
Substitute y in equation (1) by equation (2)
∵ x + 2x = 9
- Add like terms
∴ 3x = 9
- Divide both sides by 3
∴ x = 3
∵ x represents the length of the short piece
∴ The length of the short piece is 3 feet
The short piece is 3 feet long
Learn more:
You can learn more about the system of equations in brainly.com/question/3965451
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