SOLUTION: Solve the system by substitution.
5x + 5y = 0
y = –3x – 2
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Question 114177: Solve the system by substitution.
5x + 5y = 0
y = –3x – 2
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 10 to both sides
Combine like terms on the right side
Divide both sides by -10 to isolate x
Divide
Now that we know that , we can plug this into to find
Substitute for each
Simplify
So our answer is and
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