SOLUTION: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x + 2y

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Question 74960: Solve each of the following systems 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 jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'm going to use substitution since we already have y isolated

Plug this into y for the 1st equation

Distribute the 2
Add like terms. Since this equation is false, there are no solutions. If you solved the 1st equation for y, you would get:
Since this equation has the same slope as
these two lines are parallel and will never cross. So this system is inconsistent
Graph of and

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