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AssignmentMultiple Select

Solving Linear Systems Graphically

Question 1 • Adv. Algebra II S1 Original

Identify any solutions to the system given below.2x + y = 53y = 15 – 6x

Answer
A
(6, –7)
B
(2, 1)
C
(–2, –9)
D
(–4, 13)

Explanation

The first equation gives y = 5 − 2x. Dividing the second equation, 3y = 15 − 6x, by 3 gives the same rule: y = 5 − 2x. Choices A, B, and D each satisfy this rule; choice C does not, since when x = −2 the rule gives y = 9, not −9.

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