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Rachel98
Group Title
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
 one year ago
 one year ago
Rachel98 Group Title
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
 one year ago
 one year ago

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jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
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.
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
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).
 one year ago

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

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
That 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!
 one year ago

Rachel98 Group TitleBest ResponseYou've already chosen the best response.0
Wow, thank you, that makes so much more sense.
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
no problem, good luck!
 one year ago
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