Question

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

Answer 1

Is a consistent independent system

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)

so

The system of equations has only one solution

therefore

Is a consistent independent system