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

Algebra ->  Graphs -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
10x%2B2y=7
y=-5x%2B3



10x%2B2%28-5x%2B3%29=7 Plug in y=-5x%2B3 into the first equation. In other words, replace each y with -5x%2B3. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


10x-10x%2B6=7 Distribute


6=7 Combine like terms on the left side


0=7-6Subtract 6 from both sides


0=1 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.