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What is the solution of the system? y=x^2 + 6x + 9

y= x+3

1 Answer

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Because we have two values of x, we can set the two expressions equal to each-other.

x^2 + 6x + 9 = x + 3

Subtract x and 3 from both sides.

x^2 + 5x + 6 = 0

Now that we have all terms on one side, we can find the values of x.

Using the AC method, we can simplify this equation to (x + 2)(x + 3)

The solutions to the system of equations presented are:

x = -2, x = -3.


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