# How do you find the solution of the system of equations 2x+2y=38  and y=x+3?

Solution is $x = 8 , y = 11$
Divide the first equation by 2 to give $x + y = 19$
Rewrite the second $y - x = 3$
Add the two equations $2 y = 22$ gives $y = 11$
substitute in the second equation $11 = x + 3$ gives $x = 8$