SOLUTION: Solve by the elimination method 0.3X - 0.2Y = 4 0.4X + 0.3Y = 49 -- 23

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve by the elimination method 0.3X - 0.2Y = 4 0.4X + 0.3Y = 49 -- 23       Log On


   

Question 328031: Solve by the elimination method
0.3X - 0.2Y = 4
0.4X + 0.3Y = 49
--
23
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both eqations by 10 first.
1.3x-2y=40
2.4x-3y=490%2F23
Multiply eq. 1 by -3 and eq. 2 by 2 and add them to eliminate y,
-9x%2B6y%2B8x-6y=-120%2B980%2F23
-x=-2760%2F23%2B980%2F23
-x=-1780%2F23
highlight%28x=1780%2F23%29
.
.
.
Then use either equation to solve for y.
5340%2F23-2y=920%2F23
-2y=-4420%2F23
highlight%28y=2210%2F23%29