SOLUTION: Suppose T is equal to x over y and R is equal to w over z, show that xz plus yw all over yz-xw is equal to t plus r all over one minus tr.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Suppose T is equal to x over y and R is equal to w over z, show that xz plus yw all over yz-xw is equal to t plus r all over one minus tr.      Log On


   

Question 116073: Suppose T is equal to x over y and R is equal to w over z, show that xz plus yw all over yz-xw is equal to t plus r all over one minus tr.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
T=x%2Fy
R=w%2Fz
%28xz%2Byw%29%2F%28yz-xw%29=%28%281%2Fy%29%28xz%2Byw%29%29%2F%28%281%2Fy%29%28yz-xw%29%29Multiply top and bottom by (1/y).
%28xz%2Byw%29%2F%28yz-xw%29=%28%28xz%2Fy%2Byw%2Fy%29%29%2F%28%28yz%2Fy-xw%2Fy%29%29Distributive property.
%28xz%2Byw%29%2F%28yz-xw%29=%28%28Tz%2Bw%29%29%2F%28%28z-Tw%29%29Substitute and simplify.
%28xz%2Byw%29%2F%28yz-xw%29=%28%281%2Fz%29%28Tz%2Bw%29%29%2F%28%281%2Fz%29%28z-Tw%29%29Multiply top and bottom by (1/z).
%28xz%2Byw%29%2F%28yz-xw%29=%28%28Tz%2Fz%2Bw%2Fz%29%29%2F%28%28z%2Fz-Tw%2Fz%29%29Distributive property.
%28xz%2Byw%29%2F%28yz-xw%29=%28%28T%2BR%29%29%2F%28%281-TR%29%29Substitute and simplify.