SOLUTION: Use substitution to solve: x=3y-2,2x+4y=16
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Question 111723: Use substitution to solve: x=3y-2,2x+4y=16
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
Add 4 to both sides
Combine like terms on the right side
Divide both sides by 10 to isolate y
Divide
Now that we know that , we can plug this into to find
Substitute for each
Simplify
So our answer is and
Since a solution exists, and it's unique, the system is consistent and independent
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