Answer:
To find the point of intersection, just solve for x and y in the equations
so since x - y = -5
x = y - 5
now that we have a value of x, we will substitute x with in in the other equation
5x + 3y = -9
5(y-5) + 3y = -9
5y - 25 + 3y = -9
8y = 16
y = 2
now use this value of y in the equation we made for x
x = y - 5
x = 2 - 5
x = -3
Hence, the point of contact is (-3 , 2)