Respuesta :
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:
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