Is the ordered pair a solution of the given system of equations?
-A student was asked to find ordered pairs that solve the system of equations x + 2y = 3
-2x - 4y = -6.
The student claims that (1, 1) and (-1, 2) are the only solutions. Is the student correct?
A) Yes
B) No

Question

Quizplus · Accepted Answer

The student is incorrect because the system of equations is dependent, meaning both equations represent the same line. The first equation can be multiplied by -2 to get the second equation (-2x - 4y = -6), indicating they are not distinct lines but the same line represented differently. Therefore, there are infinitely many solutions, not just the two pairs mentioned.

Is the Ordered Pair a Solution of the Given System