8
QuizMultiple Choice

Break-Even Points

Question 8 • LJISD-TX-Precalculus-B-CR

What is the best way to determine whether a given point is a solution to a system of equations?

Answer
A
substitute the x and y coordinates into one equation and check to see if they work
B
graph the equations and see if the point lies on both lines
C
substitute the x and y coordinates into both equations and check to see if they work
D
solve the system of equations and compare the answer to the given point

Explanation

A solution to a system must make every equation in the system true. Substitute the point’s x- and y-coordinates into both equations, then check whether both equations are satisfied. Checking only one equation is not enough, because the point might satisfy that equation but not the other.

AI-written and checked against the verified answer.

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