SOLUTION: Please help me to solve and understand these two questions: 1. x=0.6(300+y) y=0.2(300+x) Solve to 2 decimal places. 2. x=0.9(1000-y) y=0.7(1000-x) Also need to solv

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me to solve and understand these two questions: 1. x=0.6(300+y) y=0.2(300+x) Solve to 2 decimal places. 2. x=0.9(1000-y) y=0.7(1000-x) Also need to solv      Log On


   



Question 404449: Please help me to solve and understand these two questions:
1. x=0.6(300+y)
y=0.2(300+x)
Solve to 2 decimal places.
2. x=0.9(1000-y)
y=0.7(1000-x)
Also need to solve to 2 decimal places.
Thank you for your help = )
Brenda

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.
x=0.6(300+y)
y=0.2(300+x)
Solve to 2 decimal places.
10x = 6*300 + 6y
10y = 2*300 + 2x
-----
Rearrange:
10x - 6y = 1800
2x - 10y = -600
---
Modify:
10x - 6y = 1800
10x - 50y = -3000
------
Subtract and solve for "y":
44y = 4800
y = 109.09
---
Solve for "x":
2x - 10y = -600
2x - 10*109.09 = -600
2x = -600+ 1090
2x = 490
x = 245
====================================

2.
x=0.9(1000-y)
y=0.7(1000-x)
---
10x = 9*1000-9y
10y = 7*1000-7x
---
10x+9y = 9*1000
10y+7x = 7*1000
-------------------
10x + 9y = 9000
7x +10y = 7000
---
70x + 63y = 63000
70x + 100y= 70000
-------------------------
37y = 7000
y = 189.19
----
Solve for "x":
7x + 10y = 7000
7x + 1891.9 = 7000
7x = 5108.11
x = $729.73
Solve to 2 decimal places.
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Cheers,
Stan H.
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