SOLUTION: If x+(1/y)=1 and y+(1/z)=1, what is the value of the product xyz?

SOLUTION: If x+(1/y)=1 and y+(1/z)=1, what is the value of the product xyz?

Algebra.Com

Question 272083: If x+(1/y)=1 and y+(1/z)=1, what is the value of the product xyz?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
x+(1/y)=1 ___ xy + 1 = y

substituting ___ xy + 1 + 1/z = 1 ___ xyz + z + 1 = z ___ xyz = -1
RELATED QUESTIONS
if x plus 1/y = 1 and y minus 1/z =1, then the value of xyz is... (answered by MathLover1)

Find the minimum value of the product P(x,y,z) = (2x + 3y)(x + 4z) \left( y +... (answered by CPhill)

If triangle XYZ is isosceles and LINE XY = YZ, find the value(s) of "A" if X(3,4),... (answered by bucky)

find the perimeter of triangle XYZ, where X(0,2) Y(4,-1) and... (answered by Aldorozos)

x^2=y+z, y^2=z+x, z^2=x+y, then what is the value of (1/(x+1)) + (1/(y+1)) +... (answered by Edwin McCravy)

if (xyz)^0 is equal to 1 then what is... (answered by Edwin McCravy)

if the product of the integers w, x, y, and z is 770, and if 1 < w < x < y < z, what is... (answered by longjonsilver)

if x = y+z, y = z+x, z = x+y, then what is the value of (1/(x+1)) + (1/(y+1)) +... (answered by ikleyn)

What is the value of 2(x+y) - (�-y) if x= 2, y= 1, and z =... (answered by math_helper)