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

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Question 122142: solve the following systems by using either addition or substitution. if a unique solution does not exist, state whether the system is dependent of inconsistent.
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


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