What Is Y In Terms Of A

If 2/a-1 = 4/y where y is not equal to 0  and a is not equal to 1 , what is y in terms of a?

Solution

We will need to solve this equation for y to find the answer.   2/(a-1) = 4/y  2y/(a-1) = 4  2y = 4 (a-1)  y = 2 (a -1)   First we multiply both sides of the equation by y and the denominator on the right hand side of the equation cancels out. We then do the same thing with the expression a-1 and the denominator on the left hand side cancels out. Then we divide both sides of the equation by 2 to isolate y.   y in terms of a is represented by y = 2 (a -1 ) = 2 a – 2