MediumMath· Advanced Math· Nonlinear equations in one variable and systems of equations in two variables· SPR
In the xy-plane, what is the y-coordinate of the point of intersection of the graphs of and ?
Correct answer: 1
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Explanation
The correct answer is 1. The point of intersection of the graphs of the given equations is the solution to the system of the two equations. Since and , it follows that , or . Applying the distributive property to the left-hand side of this equation yields . Subtracting from and adding 3 to both sides of this equation yields . Factoring the left-hand side of this equation yields . By the zero product property, if , it follows that . Adding 2 to both sides of yields . Substituting 2 for x in either of the given equations yields . For example, substituting 2 for x in the second given equation yields , or . Therefore, the point of intersection of the graphs of the given equations is . The y-coordinate of this point is 1.
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id cb_question_bank:41005ea5-49ba-49df-a5aa-c5b501f529f9 · question 6e02cd78 · IBN 028796-DC
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