Question

PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

Group of answer choices

10x + 2y = 14

−15x − 3y = −6

6x + 2y = 7

5x + y = −7

Answer 1

the equation D ) would cause a consistent-independent system.

Explanation:

A ) 5 x + y = 7 /*( -2 )

10 x + 2 y = 14

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- 10 x - 2 y = - 14

10 x + 2 y = 14

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0 x = 0 ( Dependent system )

B ) 5 x + y = 7 / * 3

- 15 x - 3 y = - 6

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15 x + 3 y = 21

- 15 x - 3 y = - 6

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0 x = 15 ( Inconsistent system )

C ) 5 x + y = 7

5 x + y = - 7 / * ( - 1 )

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5 x + y = 7

- 5 x - y = 7

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0 x = 14 ( Inconsistent system )

D ) 5 x + y = 7 / * ( - 2 )

6 x + 2 y = 7

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- 10 x - 2 y = - 14

6 x + 2 y = 7

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- 4 x = - 7; x = 7/4; y = - 7/4