3
QuizMultiple Choice

Solving Linear Systems by Substitution — Quiz

Question 3 • Algebra II

Which statement describes the system of equations? x plus 2 y is equal to 2 x minus 2 y is equal to negative 2

Answer
A
It has no solution.
B
It has one solution open paren 0 comma 1 close paren .
C
It has one solution open paren 4 comma negative 1 close paren .
D
It has infinitely many solutions.

Explanation

Add the equations x + 2y = 2 and x − 2y = −2 to eliminate y, giving 2x = 0, so x = 0. Substituting into the first equation gives 2y = 2, so y = 1; the system has one solution, (0, 1).

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