Question

(1+y)/(2y)-(3x+1)/(y)=0
What are the values of x and y?

Answer 1

y = 6x+1 . . . . . y ≠ 0

Explanation:

Multiplying by y gives the linear equation ...

(1+y)/2 -(3x +1) = 0

1 +y = 2(3x +1) . . . . . add (3x+1), multiply by 2

y = 6x +1 . . . . . . . . . . eliminate parentheses, subtract 1

There are an infinite number of (x, y) pairs that will satisfy this equation. The above equation gives the required relation between the x and y values. The equation is undefined for y=0, so that is not a solution.