Answer:
(x, y) = (23, 5)
Explanation:
To solve this system of equations, we can use the method of substitution or elimination.
Substitution Method:
We can solve for x in the first equation, then substitute it into the second equation:
x + 3y = 38 => x = 38 - 3y
Substituting x into the second equation, we get:
(38 - 3y) + 6y = 53
Simplifying this equation, we get:
3y = 15
y = 5
Substituting y back into the first equation, we get:
x + 3(5) = 38
x + 15 = 38
x = 23
Therefore, the solution to the system of equations is (x, y) = (23, 5).