xy=w+zy solve for y

Question

Need to solve for y

Answer 1

xy - zy = w

 

y (x - z) = w

 

y = w/(x-z)  provided x does not equal z

 

That is the answer. I have checked, and DOUBLE checked

it below. THe answer is in bold above.

---------------------------------------------------------------

Check:

Let w=2, x=1, z=0

 

y = 2/(1-0) = 2/1 = 2

 

xy = 2

w + zy = 2 + 1*0 = 2 + 0 = 2.

Yes it checks.

The answer is in bold above, checked, and proven to be correct. 

 

 

--------------------------------

DOUBLE CHECK:

y = w/(x-z). Plugs it into the right side:

 

w + z(w/(x-z)) = 

 

[w(x-z) + wz]/(x-z)

 

[wx - wz + wz]/(x-z)

wx/(x-z)

 

The left side is :   x(w)/(x-z)

 

THe left side and right side are the same

when the alleged expression for y is substituted.

THerefore, the answer is correct for any values

of x,w and z provided x and z are different as

to avoid division by zero.