Question

Y is 6 less than 3 times x. X is 2 more than one-third of y. Find the solution of the puzzle

Answer 1

there are infinitely many solution pairs: (x, 3x -6) for any x

Explanation:

You want the solution to the puzzle ...

• y is 6 less than 3 times x
• x is 2 more than 1/3 of y

Equations

The given relations can be expressed as the equations ...

• y = 3x -6
• x = 1/3y +2

Solution

Using the second equation to substitute for x in the first equation, we have ...

y = 3(1/3y +2) -6

y = y +6 -6

y = y

There are infinitely many solutions to this puzzle.

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Additional comment

(x, y) = (0, -6) or (2, 0) are two of them

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