Independent dependent inconsistent without graphing

Asked by maham237 @ 18/02/2021 in Mathematics viewed by 251 People

Without graphing classify each system as independent dependent or inconsistent -x -y=7
5x-5y=5

Answered by maham237 @ 18/02/2021

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

$-x-y=7$ -----> isolate the variable y

$y=-x-7$ ----> equation A

$5x-5y=5$ -----> isolate the variable y

$y=x-5$ ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

The system of equations has only one solution

therefore

Is a consistent independent system

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