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12345 [234]
2 years ago
6

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 numbe

r 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?
Mathematics
2 answers:
Andrews [41]2 years ago
8 0

Answer:

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?

Step-by-step explanation:

<em>If "y" is the largest number, and "x" the smallest number, it would look like this: </em>

3y = 5x + 30, <em>we cleared to add the two equations and it would be</em>: 3y - 5x = 30

y + 5x = 50

<em>Where</em>: 3y + y - 5x + 5x = 30 + 50

4y = 80; y = 80/4 = <u>20 = y </u>

<em>Now substituting the value of y in the equation would be:</em> 20 + 5x = 50; 5x = 50-20; 5x = 30; x = 30/5 = <u>6 = x </u>

<em>And the two values would be</em>:<u> 6 and 20</u>

slava [35]2 years ago
5 0
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.

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