We can solve by using the substitution method
y=-5/3x+3
y=1/3x-3
They are equal to each other because they are both equal to y
-5/3x+3=1/3x-3
Subtract both sides by 1/3 and subtract 3 from both sides
-5/3x-1/3x=-3-3
-2x=-6
Divide both sides by -2
x=3
Plug in x into one of the equation to solve for y
y=1/3(3)-3
y=1-3
y=-2
(3,-2)