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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
If the ordered pair 
satisfies the system of equations above, what is one possible value of x ?
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Explanation
The correct answer is either 0 or 3. For an ordered pair to satisfy a system of equations, both the x- and y-values of the ordered pair must satisfy each equation in the system. Both expressions on the right-hand side of the given equations are equal to y, therefore it follows that both expressions on the right-hand side of the equations are equal to each other: 
. This equation can be rewritten as 
, and then through factoring, the equation becomes 
. Because the product of the two factors is equal to 0, it can be concluded that either 
or 
, or rather, or 
. Note that 0 and 3 are examples of ways to enter a correct answer.