MediumMath· Advanced Math· Nonlinear equations in one variable and systems of equations in two variables· SPR
If the ordered pair satisfies the system of equations above, what is one possible value of x ?
A
165
B
205
C
245
D
285
Correct answer: 0 or 3
(parsed from the explanation — this source omits an answer key
for this item)
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.
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id cb_question_bank:36ab04e0-1af7-476c-bf73-74787643e803 · question fcdf87b7 · IBN 070618-DC
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