SOLUTION: Solve by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x + 2y = 7 Y = -5x + 3

Question 37159: Solve by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.

10x + 2y = 7
Y = -5x + 3
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let us transform the second equation into
5x + y = 3
and then multiply everything by two
10x + 2y = 6
If we subtract that equation from the first equation, we get
0 = 1
Of course, this is impossible. Our conclusion is that there is no solution.
This system is inconsistent.
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