Question

Solve me this please
X=33500+0,2Y
Y=26500+0,1X

Answer 1

Answer: X= 108125 and Y = 373125.

Explanation:

Given system :

`X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)`

Consider (ii)

`Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500`

Multiply 10 on both sides , we get

`10Y-X=265000 (iii)`

Add (i) and (iii)

`10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=(298500)/(0.8)\\\\\Rightarrrow\ Y=373125`

Put this in (i)

`X= 33500+0.2(373125) =108125`

Hence, X= 108125 and Y = 373125.