Answer :
Final answer:
To solve the given equations, substitute the expression for x in the second equation, simplify the expression, combine like terms, move the y term to one side, solve for y, substitute the value of y in the first equation, and calculate the value of x. The solution to the given equations is x ≈ 7586.67 and y ≈ 12273.36.
Explanation:
To solve the given equations:
- Substitute the expression for x in the second equation:
- y = 10000 + 10%*(20000 + 5%*y)
- Simplify the expression:
- y = 10000 + 10%*20000 + 10%*5%*y
- Combine like terms:
- y = 10000 + 2000 + 0.5%*y
- Moving the y term to one side:
- 0.995%*y = 10000 + 2000
- Solving for y:
- y = (10000 + 2000) / 0.995%
- Calculate the value of y:
- y ≈ 12273.36
- Substitute the value of y in the first equation:
- x = 20000 + 5%*12273.36
- Calculate the value of x:
- x ≈ 7586.67
The solution to the given equations is x ≈ 7586.67 and y ≈ 12273.36.
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