To solve the given set of equations, we'll determine the values of △, ⬠, ○, and finally □. Let's break it down step by step.
First equation: Δ + Δ + Δ = 60
This simplifies to 3Δ = 60 .
Solving for Δ , we divide both sides by 3: Δ = 20 .
Second equation: Δ + ★ + ★ = 30
We know Δ = 20 . Plug this value into the equation: 20 + 2 ★ = 30 .
Solving for ★ , we subtract 20 from both sides: 2 ★ = 10 .
Divide by 2: ★ = 5 .
Third equation: ★ − 2 ⊙ = 3
Substitute ★ = 5 into the equation: 5 − 2 ⊙ = 3 .
Subtract 3 from both sides: 2 = 2 ⊙ .
Solving for ⊙ , divide by 2: ⊙ = 1 .
Now that we have Δ = 20 , ★ = 5 , and ⊙ = 1 , let's solve the final expression: ⊙ + Δ − □ = ?
Substitute the known values: 1 + 20 − □ = ? .
Calculate the sum: 21 − □ = ? .
As we don't have enough information to determine □ directly from the given equations, the expression simplifies to 21 − □ . Without additional information about □ , this is as far as we can solve this expression. Therefore the expression ⊙ + Δ − □ in terms of the known variables is 21 − □ .
We found that △ = 20, ⬠ = 5, and ○ = 1. The expression we are trying to solve, ○ + △ - □, simplifies to 21 - □. Without more information about □, we cannot find a specific numerical answer.
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