state whether or not the system is consistent and independent or consistent and dependent or inconsistent

x+y=4
2x-y=-7

Question

state whether or not the system is consistent and independent or consistent and dependent or inconsistent 

x+y=4
2x-y=-7

jit4won · Answer

divide the coefficients of x and y 
if you get different answers it will give you a unique solution

jit4won · Answer

Here 1/1 is not equal to 1/-1

jit4won · Answer

Definitely you will get a unique solution

jit4won · Answer

Equation is consistent

anonymous · Answer

consistent/ dependent or independent/consistant

jit4won · Answer

independent/consistan

anonymous · Answer

how do u tell the difference?

jit4won · Answer

In case of unique solution x and y don't depend on each other

anonymous · Answer

oh okay thanks for clearing it up 4 me

jit4won · Answer

You wanna listen /learn it ?

anonymous · Answer

sure

jit4won · Answer

Do you anything to listen my voice ?

anonymous · Answer

unfortunately no i dont

jit4won · Answer

Okay ..try this 
Divide coefficients of x and y and check if are not equal . In this case equation is consistent/independent . 
If  you get them equal go for remaining two numbers  . find the ratio .all three ratios are equal then solution is consistent /dependent else solution is inconsistent