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Answer:
x = (y +2)/3
Step-by-step explanation:
The flowchart is trying to help you see that you "undo" what is done to x, in reverse order.
x is first multiplied by 3, then -2 is added.
First, we want to undo the addition of -2, so we add the opposite of that to y:
y = 3x -2 ⇒ y +2 = 3x
Then we want to undo the multiplication by 3, so we divide by 3:
y +2 = 3x ⇒ (y +2)/3 = x
The solution for x is ...
x = (y +2)/3
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<em>Additional comment</em>
In your diagram, each box has the inverse operation of the one in the box above it. The inverse of subtracting 2 is adding 2. The inverse of multiplying by 3 is dividing by 3. The arrows connecting the boxes are intended to show you that these inverse operations occur in the reverse order of the original operations, as we described above. (The small box at bottom center might contain "3x".)
