SOLUTION: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y

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Question 91570: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent.
10x+2y=7
y=-5x+3

Answer by uma(370)   (Show Source): You can put this solution on YOUR website!
10x+2y=7-------------(1)
y=-5x+3--------------(2)
(2) can be written as 5x+y =3
Multiplying this by 2 we get,
10x+2y=6
10x+2y=7---------(1)
On subtracting these equations we find that, both the variables get cancelled.
==> the given system does not have a solution.
In other words the lines represented by these equations are parallel.

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