SOLUTION: 1. solve these equations y=10-x 2x-y=-4

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Question 113900: 1. solve these equations
y=10-x
2x-y=-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
2x-y=-4
y=10-x



2x-%2810-x%29=-4 Plug in y=10-x into the first equation. In other words, replace each y with 10-x. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


2x-10%2Bx=-4 Distribute the negative


3x-10=-4 Combine like terms on the left side


3x=-4%2B10Add 10 to both sides


3x=6 Combine like terms on the right side


x=%286%29%2F%283%29 Divide both sides by 3 to isolate x



x=2 Divide




Now that we know that x=2, we can plug this into y=10-x to find y



y=10-%282%29 Substitute 2 for each x


y=8 Simplify


So our answer is x=2 and y=8