[tex]2x+2y=38 \\ y = x + 3 \\ \\ \\ 2x+ 2 (x + 3) = 38 \\ \\ 2x + 2(x + 3) \\ \\ 2x + 2x + 6 \\ \\ 4x + 6 \\ \\ 4x + 6 = 38 \\ \\ 4x + 6 - 6 = 38 - 6 \\ \\ 4x = 32 \\ \\ \frac{4x}{4} = \frac{32}{4} \\ \\ x = 8 \\ \\ y = 11 \\ \\ [/tex]
The final result is: x = 8 and y = 11.
