What is x and y (use substitution?) 5x+3y=38 and y=3x+8?

x = 1 and y = 11

Step-by-step explanation:

To start, let's substitute in y into the first equation. We will get 5x + 3 (3x + 8) = 38. Now, distribute the 3 in the 2nd term to get 5x + 9x + 24 = 38. Add like terms to get 14x + 24 = 38, and subtract 24 from both sides to get 14x = 14. Now, divide both sides by 14 to get x = 1. Plug this back in to get that y = 11.