SOLUTION: Solve the system by elimination method 0.3x-0.2y=4 0.5x+0.3y=71/23

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Question 311012: Solve the system by elimination method
0.3x-0.2y=4
0.5x+0.3y=71/23
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both equations by 10 to eliminate decimals.
1.3x-2y=40
2.5x%2B3y=710%2F23
Mulltiply eq. 1 by 3 and eq. 2 by 2 and add them to eliminate y,
9x-6y%2B10x%2B6y=120%2B1420%2F23
19x=2760%2F23%2B1420%2F23
highlight_green%28+x=4180%2F437%29
Then use either equation to solve for x.
3x-2y=40
12540%2F437-2y=17480%2F437
-2y=4940%2F437
highlight_green%28+y=-2470%2F437%29