Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
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

This Question is Closed

jtvatsimBest 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

jtvatsimBest 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

jtvatsimBest 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

jtvatsimBest 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

Rachel98Best ResponseYou've already chosen the best response.0
Wow, thank you, that makes so much more sense.
 one year ago

jtvatsimBest ResponseYou've already chosen the best response.1
no problem, good luck!
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.