Answer:
Is a consistent independent system
Step-by-step explanation:
we have
[tex]-x-y=7[/tex] -----> isolate the variable y
[tex]y=-x-7[/tex] ----> equation A
[tex]5x-5y=5[/tex] -----> isolate the variable y
[tex]y=x-5[/tex] ---> 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
