One number added to three times another number is 24. Five times the first number added to three times the other number is 36. Find the numbers.

Okay, so the equations would be:

x + 3y = 24

3y + 5x = 36

Imma use Substitution to solve this:

x = - 3y + 24

3y + 5 (-3y + 24) = 36

3y - 15y + 120 = 36

-12y + 120 = 36

-12y = - 84

y = 7

x = - 3 (7) + 24

x = - 21 + 24

x = 3

So the first number (x) would be 3 and the second number (y) would be 7.