first off.. to find where two lines intersect.. we'll need to solve the system of equations..

You have two equations

7x - 3y = 13

y = 2x - 3

Since you already have the second equation solved for a variable (y in this case).. we can plug that expression into the first equation for y and solve.

7x - 3(2x - 3) = 13

7x - 6x + 9 = 13

x + 9 = 13

x = 4

Now that we have the x-value where they intersect, we'll find the y-value by plugging the x-value into the second equation

y = 2(4) - 3

y = 8 - 3

y = 5

So, they intersect at the point (4, 5).