Respuesta :
The larger number is 20 and the smaller number is 6.
Given that in a coordinate plane, three times a larger number is 30 more than 5 times a smaller number, and the sum of the larger number and 5 times the smaller number is 50, the following calculations must be done to determine what are the two numbers:
- 3Y = 5X + 30
- Y + 5X = 50
- 3Y - 30 = 5X
- 50 - Y = 5X
- 3Y - 30 = 50 - Y
- 3Y + Y = 50 + 30
- 4Y = 80
- Y = 20
- 3 x 20 = 5X + 30
- 60 - 30 = 5X
- 30/5 = X
- 6 = X
Therefore, the larger number is 20 and the smaller number is 6.
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