If one solution to the system of equations above is , what is one possible value of x ?
Correct answer: 8 or 9 (parsed from the explanation — this source omits an answer key for this item)
Explanation
The correct answer is either 8 or 9. The first equation can be rewritten as . Substituting
for y in the second equation gives
. By applying the distributive property, this can be rewritten as
. Subtracting 72 from both sides of the equation yields
. Factoring the left-hand side of this equation yields
. Applying the Zero Product Property, it follows that
and
. Solving each equation for x yields
and
respectively. Note that 8 and 9 are examples of ways to enter a correct answer.
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