Question 1203091
your intercept must be equal to (1,19).
that means y = 19 when x = 1.
let your first equation be 3x + 2y = 3 + 38 = 41
let your second equation be 5x + y = 5 + 19 = 24
since these equations were created with x = 1 and y = 19, they should both intersect at (1,19).
the following graph confirms that they do.


<img src = "http://theo.x10hosting.com/2023/072011.jpg">