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A coordinate plane. Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50. Let x be the smaller number and y be the larger number. Create a system and graph it to find the solution. What are the two numbers? x = and y =.

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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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Answer:

x= 6

y= 20

Step-by-step explanation:

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