SOLUTION: If w, x, y, and z are four nonzero numbers, then all of the following proportions are equivalent EXCEPT (A) z/w=x/y (B) w/x=y/z (C) y/w=z/x (D) x/z=w/y (E) xy/

Algebra ->  Proportions  -> Lessons -> SOLUTION: If w, x, y, and z are four nonzero numbers, then all of the following proportions are equivalent EXCEPT (A) z/w=x/y (B) w/x=y/z (C) y/w=z/x (D) x/z=w/y (E) xy/      Log On


   

Question 630075: If w, x, y, and z are four nonzero numbers, then all of the following proportions are equivalent EXCEPT

(A) z/w=x/y
(B) w/x=y/z
(C) y/w=z/x
(D) x/z=w/y
(E) xy/wz=1/1
please include explanations.. thanks!
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
If w, x, y, and z are four nonzero numbers, then all of the following proportions are equivalent EXCEPT
 Form the equivalent cross-product equations.

The cross product equation is

%28matrix%282%2C1%2CLEFT%2CNUMERATOR%29%29×%28matrix%282%2C1%2CRIGHT%2CDENOMINATOR%29%29 = %28matrix%282%2C1%2CRIGHT%2CNUMERATOR%29%29×%28matrix%282%2C1%2CLEFT%2CDENOMINATOR%29%29

(A) z%2Fw=x%2Fy the cross product equation: zy = xw

(B) w%2Fx=y%2Fz the cross product equation: wz = yx

(C) y%2Fw=z%2Fx the cross product equation: yx = zw

(D) x%2Fz=w%2Fy the cross product equation: xy = wz

(E) xy%2Fwz=1%2F1 the cross product equation: xy = wz

The cross product equations are all equivalent except (A)

Edwin