Question

If x= x+1/y+z, find x in terms of y and z

Answer 1

x = (1 - yz)/(y- 1)

Step-by-step explanation:

I assume that you meant x = (x+1)/(y+z) because you cannot find x in "x = x + 1/y + z."

Anyways, here is my explanation:

1. Multiple (y + z) on both sides

xy + yz = x + 1

2. Subtract x and yz on both sides

xy - x = 1 - yz

3. Factor x

x(y - 1) = 1 - yz

4. Divide y - 1 on both sides

x = (1 - yz)/(y- 1)