Answer to Question #313988 in Algebra for Nqobza

Question

What are the (x:y) coordinates of the point of intersection of the lines determined by the equation 2x-3y=4 and y = x?

Answer 1

2x - 3y = 4

y = x

Then 2y - 3y =4

-y = 4

y = - 4

Since y = x

Then x = - 4

Hence the coordinate are k( - 4, - 4) such that k is a natural number