The coordinates of the intercept of the following two lines: $2x - 3y = 17$ and $ 3x - y = 15$ is the point where $x$ and $y$ are equal in both equations.
To determine the coordinates we solve the two equations simultaneously.
Make $y$ subject of formula in the second equation
Substituting for $y$ in the 1st equation becomes:
Since we already know that $y=3x-15$, we can determine the value of $x$