AnswersAlgebra IIN/A — ExamQuestion 62
62
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N/A — Exam

Question 62 • Algebra II

Lucia tried to solve the following system. 2 x plus 2 y is equal to 14 x minus 2 y is equal to negative 2 Lucia's Work x minus 2 y is equal to negative 2 x is equal to negative 2 minus 2 y 2 times open paren negative 2 minus 2 y close paren plus 2 y is equal to 14 negative 4 minus 4 y plus 2 y is equal to 14 negative 4 minus 2 y is equal to 14 negative 2 y is equal to 18 y is equal to negative 9 x minus 2 times negative 9 is equal to negative 2 x plus 18 is equal to negative 2 x is equal to negative 20 What error did Lucia make?

Answer
A
When Lucia solved for the value of x , she added 18 to both sides.
B
When Lucia solved the second equation for x , she subtracted 2 y from both sides.
C
When Lucia solved for the value of y , she treated negative 2 y as 2 y .
D
When Lucia solved the second equation for x , she treated negative 2 times negative 9 as 18 instead of negative 18 .

Explanation

The second equation is x − 2y = −2. To isolate x, Lucia should add 2y to both sides, giving x = −2 + 2y. Instead, she wrote x = −2 − 2y, which comes from subtracting 2y rather than adding it. The error is choice B.

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