SOLUTION: Solve each system by substitution. check your answer. y=x-2 y=4x+1

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Question 119691: Solve each system by substitution. check your answer.
y=x-2
y=4x+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
1y=x-2
y=4x%2B1



4x%2B1=x-2 Plug in y=4x%2B1 into the first equation. In other words, replace each y with 4x%2B1. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


4x=x-2-1Subtract 1 from both sides


4x-x=-2-1 Subtract x from both sides


3x=-2-1 Combine like terms on the left side


3x=-3 Combine like terms on the right side


x=%28-3%29%2F%283%29 Divide both sides by 3 to isolate x



x=-1 Divide




Now that we know that x=-1, we can plug this into y=4x%2B1 to find y



y=4%28-1%29%2B1 Substitute -1 for each x


y=-3 Simplify


So our answer is x=-1 and y=-3