Posted by **david** on Monday, July 8, 2013 at 6:07am.

4x+y-32=1, 6x-y-4z=7, 10x+2y-6z=5 pls show me how to solve for x,y,z. Ans:xx=1.5,y=-2,z=1

- (pls help) algebra -
**Steve**, Monday, July 8, 2013 at 9:04am
here are several ways to do this (as I'm sure your textbook will show - read it, and do web searches for alternate presentations).

Substitution:

(1) 4x+y-3z = 1

(2) 6x-y-4z = 7

(3) 10x+2y-6z = 5

From (1) we see that y = -4x+3z+1, so plug that into (2) and (3):

6x - (-4x+3z+1) - 3z = 7

10x + 2(-4x+3z+1) - 6z = 5

or

(4) 10x -6z = 8

(5) 2x = 3

From (5) we see x = 3/2

Plug that into (4) and z = 1

Plug x and z into any of the original equations and y = -2

Besides substitution, there's elimination, determinants, matrices, and other methods.

- (pls help) algebra -
**Steve**, Monday, July 8, 2013 at 9:11am
Extra credit: find and fix my typo.

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