Posted by **ashley** on Monday, April 2, 2012 at 8:31pm.

systems of linear equations in 3 variables

1/3x-2/3y+z=0

1/2x-3/4y+z=1/4

-2x-y+z=1

- algebra -
**Charlie**, Monday, April 2, 2012 at 8:46pm
Mult 1st eq by 3; x-2y+3z = 0

Mult 2nd eq by 4: 2x - 3y + 4z = 1

Add 2nd and 3rd: -4y+5z = 2

Mut 1st by 2: 2x-4y + 6z = 0

Add that answer and 3rd eq: -5y + 7z = 1

5(-4y + 5z = 2) + -4(-5y + 7z = 1)

-20y + 25z = 10 + 20y - 28z = -4

-3z =6

z = -2

Sub into the 1st eq: x - 2y -6 =0

Sub into the 3rd eq: -2x-y-2 = 1

2(x-2y = 6) + (-2x-y=3)

2x - 4y = 12 + -2x -y = 3

-5y =15

y = -3

sub into the 3rd eq

-2x -(-3) +(-2) = 1

-2x +1 = 1

x = 0

(0,-3,-2)

- algebra -
**bobpursley**, Monday, April 2, 2012 at 8:51pm
It might be easier if you

a) multiplied the first equation by 3

b) the second equation by 4

## Answer This Question

## Related Questions

- algebra - I do not know how to solve the following systems of linear equations ...
- Algebra - Solving systems of linear equations in 3 variables... 1) 3x-2y+2z=1 2...
- algebra - Can anyone help me to understand algebra? Right now I am working on ...
- Algebra 2 - Solving systems of linear equations in three variables. Ok so i dont...
- algebra - systems of linear equations in 3 variables 1/3x-2/3y+z=0 1/2x-3/4y+z=1...
- College Algebra - Translate the problem into a pair of linear equations in two ...
- Algebra II - Right now we're doing systems of Linear Equations in Three ...
- Linear Algebra - Express the solutions of the following systems in terms of the ...
- Algebra 2 - Solving Systems of Equations in Three Variables: 3x+3y-z=-3 -2x-3y+...
- Algebra 2 - Solving Systems of Equations in Three Variables: 3x+4y+z=1 x+3y-z=-2...

More Related Questions