SOLUTION: if x and y are two different real numbers and xz = yz then what is the value of z? a)x

SOLUTION: if x and y are two different real numbers and xz = yz then what is the value of z? a)x - y b) 1 c) x/y d) y/x e) 0

Question 209238: if x and y are two different real numbers and xz = yz then what is the value of z?
a)x - y b) 1 c) x/y d) y/x e) 0
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
z has to be equal to 0.
that would be answer (e)
-----
here's why.
x and y are two different numbers not equal to each other.
xz = yz
subtract yz from both sides of the equation to get:
xz - yz = 0
factor out z to get:
(x-y)*z = 0
this means that:
(x-y) = 0
or:
z = 0
or:
both
-----
(x-y) can't be 0 because that would mean that x = y which violates the problem statement.
this means that z must = 0
-----

RELATED QUESTIONS
Q.1) If a, b, c, are real numbers such that a2+2b=6, b2+4c= -7 and c2+6a= -13, then the... (answered by Edwin McCravy)

If xy = a, xz = b, and yz = c, and none of these quantities is 0, then what is the x^2 - (answered by Edwin McCravy)

If the operation x*y is defined by x *y=(x+1)(y+1)-1, then which one of the following is (answered by Fombitz,ikleyn)

Find the value of c and YZ if Y is between X and Z. XY=11, YZ=4c,... (answered by mananth)

If x > y and y > 0 and xz < 0, then which of the following must be true about all of the... (answered by Fombitz)

if x+y+z=20, and x^2+y^2+z^2=100, then what is the value of... (answered by ikleyn)

If x, y, and z are non-zero integers, x = 14/z and yz= 7, then x/y = A) 0.5 B) 1 C)... (answered by richard1234)

Find the value of the variable YZ if Y is between X and Z. XY=11, YZ=4c,... (answered by Fombitz)

XY=2x+1, YZ=6x, and XZ=81 Find the value of x and YZ if Y is between X and... (answered by stanbon)