Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
