Question 887212
Solution :
To solve using the elimination method we first eliminate one of the variable with same co-efficient but opposite signs and then find the solution . 

0.2x+0.3y=.08.......(1)
0.3x+0.4y=1.3.......(2)
To simplify it we will multiply each term by 10 we get , 
2x + 3y = 0.8......(1)
3x + 4y = 13.......(2)
Multiply (1) by 4 and the (2) by 3 , 
We get  ,  
8x + 12y = 3.2....(1)
9x + 12y = 39 ....(2)
Subtracting both the equation we get , 

   8x + 12y = 3.2
 - 9x + 12y = 39 
 -    -      -
-------------------
  - x + 0 y = - 35.8
So we have x  = 35.8 
Now plug the x = 35.8 in one of the equation we get , 
3 * (35.8) + 4y = 13
 y = - 23.6

So the solution is (35.8 , -23.6)


Thank you .