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 2 years ago
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
 2 years ago
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

This Question is Closed

jtvatsim
 2 years ago
Best ResponseYou've already chosen the best response.1A 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.

jtvatsim
 2 years ago
Best ResponseYou've already chosen the best response.1As 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).

jtvatsim
 2 years ago
Best ResponseYou've already chosen the best response.1If we solve answer B for y: 21x + 3 = 2y (21/2)x + (3/2) = y which is not the same as the original.

jtvatsim
 2 years ago
Best ResponseYou've already chosen the best response.1That leaves us with only one answer left: A. 42x  4y = 3 42x = 3 + 4y 42x  3 = 4y (42/4)x  (3/4) = y reversing the equation to make the y look right (we can do this since it is equal) y = (42/4)x  (3/4) y = (21/2)x  (3/4) Which is the same as our original equation and we are done!

Rachel98
 2 years ago
Best ResponseYou've already chosen the best response.0Wow, thank you, that makes so much more sense.

jtvatsim
 2 years ago
Best ResponseYou've already chosen the best response.1no problem, good luck!
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