SOLUTION: A) given that x+y=42, y+z=67 and x+z=55, find the value of x+y+z. B) hence, find the values of x, y and z

Algebra.Com
Question 1116924: A) given that x+y=42, y+z=67 and x+z=55, find the value of x+y+z.
B) hence, find the values of x, y and z

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
3.
Adding them all together,



.
.
.
From 3,

Substituting into 2,

4.
Adding 1 and 4,


Solve for y then use the other equations to solve for x and z.

RELATED QUESTIONS

FIND THE VALUE OF Y FOR THE GIVEN VALUES OF X, AND Z. y= x + z x = 8 z =... (answered by mathbird)
a) Find the value of xyz, given that xy = 117, yz = 286 and xz = 198. b) Hence, find... (answered by rothauserc,Alan3354,ikleyn,greenestamps)
Find the smallest possible value of $$\frac{(y-x)^2}{(y-z)(z-x)} +... (answered by Alan3354)
x(y+z)=6 y(z+x)=10 z(x+y)=12 find the value of... (answered by Edwin McCravy)
If x - y = -10, x + z = -6, and y - z = 8, Find the value of (x + y) /... (answered by josgarithmetic)
find the values of x and y, z. (answered by ikleyn,Alan3354)
If x * y = x + 2y find all values of z such that (z * z)*z =... (answered by CubeyThePenguin)
If for three distinct positive numbers x, y, and z, {{{ y/(x-z) = (x+y)/z = x/y }}}... (answered by ikleyn)
Given that z=3y+2/y-1, express y in terms of z and hence find the value of y when... (answered by stanbon)