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. 12. 10x

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Question 123357: 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.
12. 10x + 2y = 7
y = -5x + 3


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given system





Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.


Distribute


Combine like terms on the left side


Subtract 6 from both sides


Combine like terms on the right side


Simplify

Since this equation is never true for any x value, this means there are no solutions.
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