SOLUTION: a/b=x-y/y-z solve for y

Algebra.Com
Question 132636: a/b=x-y/y-z
solve for y

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Cross multiply


Distribute


Subtract ay from both sides


Subtract bx from both sides


Factor out the GCF "y" from the right side

Divide both sides by


Rearrange the equation


Factor out -1 from the numerator


Factor out -1 from the denominator


Cancel out the "-1" terms


Simplify

RELATED QUESTIONS

y=z/z-a solve for... (answered by macston)
Solve x + yr = z for y. A. y = z/r – x B. y = z-x/r C. y = r(z – x) D. y = zr – x (answered by checkley77)
Solve x + yr = z for y. A. y = z/r - x B. y = z-x/r C. y = r(z – x) D. y =... (answered by checkley77)
Solve x-2/y=z for... (answered by jim_thompson5910)
Solve xyz=x + y + z for... (answered by stanbon)
x + y + z = 2 x - y + z = 1 x - y - z = 1 solve for x, y and... (answered by sowmya)
Solve the system for x, y and z: x+y+z=8 x-y+z=2... (answered by Alan3354,TigerAlgebra)
Solve for x: x = (x - y) *... (answered by stanbon)
Solve for x... (answered by checkley75)