Question bank / Linear equations in two variables

Math · AlgebraEasy

Which of the following points lies on the graph of 2x+3y=122x + 3y = 12 in the xyxy-plane?

A

(2,3)(2, 3)

B

(6,1)(6, 1)

C

(0,6)(0, 6)

D

(3,2)(3, 2)

Show answer and explanation

Answer: D

Substitute each point. For (3,2)(3, 2): 2(3)+3(2)=6+6=122(3) + 3(2) = 6 + 6 = 12, which is true. The other points give 13, 15, and 18.

Choice A swaps the coordinates; 2(2)+3(3)=132(2) + 3(3) = 13, not 12.

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