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AssignmentMultiple Choice

Solving Quadratic Equations: Completing the Square

Question 1 • Common Core Algebra I 2014 - MA3109 B-CR

What is the solution of the system of linear equations?–3x + 4y = –182x – y = 7

Answer
A
(–2, –3)
B
(–2, 3)
C
(2, –3)
D
(2, 3)

Explanation

From 2x − y = 7, solve for y to get y = 2x − 7. Substitute into −3x + 4y = −18: −3x + 4(2x − 7) = −18, so 5x = 10 and x = 2. Then y = 2(2) − 7 = −3, giving the solution (2, −3), choice C.

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