Please I am desperate! Check my answer. Question: Which equation would make this system consistent and dependent? Equation: 2/3y = 7x - (1/2). Choices: A. 42x - 4y = 3 B. 21x = 2y - 3 D. y = (21/2)x - (3/2) My Answer: D

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A system is consistent and dependent if the two equations are identical. So we must find an answer choice that is the same as the original equation.

As it is written, our original equation is very messy, using some algebra, we can write: (2/3)y = 7x - (1/2) as 2y = 21x - (3/2) y = (21/2)x - (3/4) Answer choice D is close, but not quite right (it has 3/2 instead of 3/4).

If we solve answer B for y: 21x + 3 = 2y (21/2)x + (3/2) = y which is not the same as the original.

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