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?

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Mathematics

30 October, 15:29

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?

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Talia Stout · Answer 1

3y = 5x + 30

y + 5x = 50 ... (1)

3y - 5x = 30 ... (2) - rearranging the first equation.

Add (1) and (2) : -

4y = 80

y = 20

Now plug y = 20 into equation (1) : -

20 + 5x = 50

5x = 30

x = 6

The 2 numbers are 6 and 20.