SOLUTION: y=x+8 x+y=2 use substitution to solve each system of equation

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: y=x+8 x+y=2 use substitution to solve each system of equation      Log On


   

Question 369977: y=x+8
x+y=2
use substitution to solve each system of equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
x%2By=2
y=x%2B8



x%2B%28x%2B8%29=2 Plug in y=x%2B8 into the first equation. In other words, replace each y with x%2B8. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


2x%2B8=2 Combine like terms on the left side


2x=2-8Subtract 8 from both sides


2x=-6 Combine like terms on the right side


x=%28-6%29%2F%282%29 Divide both sides by 2 to isolate x


x=-3 Divide


Now that we know that x=-3, we can plug this into y=x%2B8 to find y



y=%28-3%29%2B8 Substitute -3 for each x


y=5 Add


So our answer is x=-3 and y=5 which also looks like


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim