Question 9 Answer & Explanation - SAT Algebra

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algebra

Find the coordinates of the vertex formed by $y = 2x$ and $x + y = 6$ .

$(2, 4)$

$(3, 3)$

$(1, 5)$

$(4, 2)$

Correct Answer: A

Choice A is the correct answer. Solve the system of equations.

Substitute: $y = 2x$ into $x + y = 6$
Solve: $x + (2x) = 6 \rightarrow 3x = 6 \rightarrow x = 2$
Find y: $y = 2(2) = 4$
Vertex: $(2, 4)$

?�� Strategic Tip: Vertices of feasible regions are found by treating inequalities as equations.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 77

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