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Puzzle ThreeSolve theto systems of equations. To unlock puzzle three find theproduct of solution (ordered pair - x and y value) and then find themean of all five products.3x + y = 42 x - y = 6

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S ={ (2,-2) }

1) Let's solve that linear system of equations, by the Elimination Method:

3x + y = 4 Add both equations simultaneously

2 x - y = 6

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5x = 10

x = 2

2) Now we can plug the quantity of x= 2 into the simplest equation:

2x -y = 6 Plug into that

2(2) -y = 6 Multiply it

4 - y = 6 Subtract 4 from both sides

-y = 6 -4

-y = 2

y= -2

3) Hence, the ordered pair that verifies this Linear Equation is (2,-2)

The product of 2 and -2 yields -4

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