(x,y) = (3,7)
Since both equations express y in terms of x we can equate them.
4x - 5 =2/3x + 5 (subtract 2/3x from both sides )
10/3x - 5 = 5 (add 5 to both sides)
10/3x = 10
multiply both sides by 3/10
x = (3× 10)/10 = 3
substitute x = 3 in either of the 2 given equations to obtain y-coordinate
y = 4x - 5 ⇒ y=(4 × 3) - 5 = 12 - 5 = 7
point of intersection = (3,7)