Problem 616

Solve by substitution method. If the system does not have a single ordered pair as a solution, state whether the system is dependent or inconsistent.

 

6x+42y=30…………………(1)

X=5-7y……………………..(2)

 

Solution:-

 

Take  6 common from  equation 1

6(x+7y)=30

X+7y=5……………………..(3)

 

Both lines are same .they have infinite number of solutions   this type of system known as dependent.

 

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