i dont get this heres my question. indicate the solution for each system and classify each system as consistent or inconsistent, and dependent or independent.

y-2x=4

x+y=1

and heres another one

3x+y=4

y+3x=4

Answer: The equations of a linear system are **consistent** if they possess a common solution, and **inconsistent** otherwise.

i) y-2x=4 —>a

x+y=1—–> b

subtracting a from b we get –> x = -1 putting this value of x in b we get y =2

Thus this system has a solution and is consistent.

ii) 3x+y=4 —>a

y+3x=4 —> b

If we subtract a from b we get 0 = 0 which is a false statement thus system has no solution and is inconsistent.

Hope this helps.

Thanks,

Sana

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