4
lesson pretestMultiple Choice

Pretest

Question 4 • Algebra 2

What is the solution to the following system of equations? 3 x minus 2 y is equal to 12 6 x minus 4 y is equal to 24

Answer
A
It has infinitely many solutions.
B
It has one solution open paren 2 comma negative 3 close paren .
C
It has one solution open paren 4 comma 0 close paren .
D
It has no solution.

Explanation

The second equation, 6x − 4y = 24, is exactly twice the first equation, 3x − 2y = 12. So both equations describe the same line, rather than two different lines meeting at just one point. Therefore, the system has infinitely many solutions.

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