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Rachel98

  • 3 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

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  1. jtvatsim
    • 3 years ago
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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.

  2. jtvatsim
    • 3 years ago
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    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).

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

  4. jtvatsim
    • 3 years ago
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    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!

  5. Rachel98
    • 3 years ago
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    Wow, thank you, that makes so much more sense.

  6. jtvatsim
    • 3 years ago
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    no problem, good luck!

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