SOLUTION: Solve the system of linear equations by the substitution method. State whether the system is independent, dependent, or inconsistent and explain why you think so. 4x + 10

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Question 272145: Solve the system of linear equations by the substitution method. State whether the system is independent, dependent, or inconsistent and explain why you think so.


4x + 10y = –28
6x + 7y = 6
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
4x + 10y = –28 ___ 2x + 5y = -14 ___ 2x = -14 - 5y

6x + 7y = 6 ___ 3(2x) + 7y = 6

substituting ___ 3(-14 - 5y) + 7y = 6 ___ -42 - 15y + 7y = 6

-8y = 48 ___ y = -6

substituting ___ 2x = -14 - 5(-6) ___ x = 8

independent ___ because a unique solution was found