SOLUTION: Find the solution to each system by the substitution method. Check your answer 10x+3y=8 2x+ y=2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the solution to each system by the substitution method. Check your answer 10x+3y=8 2x+ y=2      Log On


   

Question 307170: Find the solution to each system by the substitution method. Check your answer
10x+3y=8
2x+ y=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.10x%2B3y=8
2.2x%2B+y=2
From eq. 2,
2x=2-y
10x=10-5y
Substitute into eq. 1,
10x%2B3y=8
10-5y%2B3y=8
-2y=-2
highlight_green%28+y=1%29
Then from eq.2,
2x=2-y
2x=2-1
highlight_green%28+x=1%2F2%29