Which equation can pair with 3x 4y = 8 to create a consistent and independent system?6x 8y=16-3x-4y=-66x-3y=2-3x-4y=-8

Question

Marisa

Mathematics

13 May, 16:52

Which equation can pair with 3x 4y = 8 to create a consistent and independent system?6x 8y=16-3x-4y=-66x-3y=2-3x-4y=-8

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Answers (1)

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Virginia Novak · Answer 1

When a system of equations has a solution, then it is called a consistent system. Likewise, when it only has one set of solutions, then it is considered to be an independent system. The easiest way to obtain the pair of the equation 3x + 4y = 8 would be to try and solve it using the given equations from the choices.

Trial and Error using choice C:

3x + 4y = 8

6x - 3y = 2

x = 32/33

y = 14/11

Therefore, the correct answer is 6x - 3y = 2.