algebra
posted by ashley .
systems of linear equations in 3 variables
1/3x2/3y+z=0
1/2x3/4y+z=1/4
2xy+z=1

Mult 1st eq by 3; x2y+3z = 0
Mult 2nd eq by 4: 2x  3y + 4z = 1
Add 2nd and 3rd: 4y+5z = 2
Mut 1st by 2: 2x4y + 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: 2xy2 = 1
2(x2y = 6) + (2xy=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) 
It might be easier if you
a) multiplied the first equation by 3
b) the second equation by 4
Respond to this Question
Similar Questions

College Algebra
Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables. The perimeter of a rectangle is 72m. If the width were doubled … 
algebra
Can anyone help me to understand algebra? 
Algebra 2
Solving systems of linear equations in three variables. Ok so i don't really totally get these problems. Can you help me solve this one? 
Algebra
Solving systems of linear equations in 3 variables... 1) 3x2y+2z=1 2) 2x+5y5z=7 3) 4x3y+z=3 I combined 1 and 3 to get 5x+4y=7 And then i combined 2 and 3 to get 13y+11z=17. Can that be right? 
Linear Algebra
Express the solutions of the following systems in terms of the free variables: x1 + 3*(x2)  2*(x3) + 2*(x5) = 0 2*(x1) + 6*(x2)  5*(x3)  2*(x4) + 4*(x5)  3*(x6) = 1 5*(x3) + 10*(x4) + 15*(x6) = 5 2*(x1) + 6*(x2) + 8*(x4) + 4*(x5) … 
Algebra II
Right now we're doing systems of Linear Equations in Three Variables. It says to solve the following system: x  y + 3z = 4 x + 2y  z = 3 4x + 3y + 2z = 5 Whatever I try with this problem (and the others like it) it comes out wrong. … 
algebra
I do not know how to solve the following systems of linear equations in 3 variables 1) x2y+z=7 2) 2x+y3z=1 3) x4y+3z=13 
algebra
systems of linear equations in 3 variables 1/3x2/3y+z=0 1/2x3/4y+z=1/4 2xy+z=1 every time i do it is wrong and i cannot figure out what I'm doing wrong please help!!! 
Algebra I DONT KNOW HOW TO DO 3 VARIABLES
Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x  3y + 5z =3 (2) 3x  2y + 5z=1 (3) my teacher gave me the answer … 
Math
PLEASE CHACK MY ANSWER!!! Discussion for Applications of Linear Systems When solving a system of equations, how do you determine which method to use?