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AssignmentMultiple Choice

Solving 3 x 3 Linear Systems

Question 1 • OK-Algebra II A

Which of the following statements is true of the system below?–2x – 3y = –13x + 6y = 0

Answer
A
The solution to this system is (3, –2).
B
The solution to this system is (2, –1).
C
This system has no solutions.
D
This system has infinitely many solutions.

Explanation

The equations are −2x − 3y = −1 and 3x + 6y = 0. From the second equation, x = −2y. Substituting into the first gives 4y − 3y = −1, so y = −1 and x = 2. The solution is (2, −1), so the true statement is that choice.

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