Posted by **Chanell** on Sunday, April 10, 2011 at 4:21pm.

if x+y=11, y+z=14, and x+z=13, what is the value of x+y+z ?

- geometry -
**Henry**, Tuesday, April 12, 2011 at 2:41pm
Eq1: X + Y = 11.

Eq2: Y + Z = 14.

Y = 14 - Z.

Eq3: X + Z = 13.

X = 13 - Z.

In Eq1, substitute (13-Z) for X, and

(14-Z) for Y:

(13-Z) + (14-Z) = 11,

13 - Z + 14 - Z = 11,

-2Z + 27 = 11,

-2Z = 11 - 27 = -16,

Z = 8.

X + Y + Z,

Substitute 11 for y and 8 for Z:

(X+Y)+Z = 11 + 8 = 19.

- geometry -
**Henry**, Tuesday, April 12, 2011 at 2:46pm
CORRECTION:

Substitute 11 for (x+y).

## Answer this Question

## Related Questions

- geometry - find the value value of X m<AOB=4x-2, m<BOC=5x+10 m<COD=3x-8
- geometry - The measures of the angles in a quadrilateral are represented by x, ...
- geometry - 1.in which geometry do lines no contain an infinite number of points...
- geometry - I am not sure I understand especially the part where it says "the ...
- I need an answer--molecular/electron geometry - Can anyone help me out with the ...
- Molecular and Electron geometry - Can anyone help me out with the differences ...
- geometry - Expected value If on a $1 bet, Paul Goldstein's expected value is 0....
- geometry - KL=4x-1,LM=2x-1 and KM=2x. What is the value of x?
- Geometry - If RS = 3x + 1, ST = 2x - 2, And RT = 64. What is the value of x.
- geometry - if ef=2x-6 fg=3x-9 and eg=25 what is the value of x ef and fg