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

Question

asked Jun 21, 2021 234k views

1 Answer

Shaneeka · Answer 1 · 2021-06-26T10:15:20+0000

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.