Mads1265 Mads1265
  • 04-03-2021
  • SAT
contestada

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

Respuesta :

dvclee2
dvclee2 dvclee2
  • 04-03-2021

Answer:

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

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)

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