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?

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:

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

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

y + 5x = 50

Where: 3y + y - 5x + 5x = 30 + 50

4y = 80; y = 80/4 = 20 = y

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

And the two values would be: 6 and 20

in simple terms 6 and 20

Step-by-step explanation:

i think the length is 12 and the width is 17