SOLUTION: Could you please take the time to help me solve this question: Solve the following system of three linear equations: 2x + y + z = 3, -x + 2y + 2z = 1 and x - y

Click here to see ALL problems on Linear-systems

Question 101338: Could you please take the time to help me solve this question: Solve the following system of three linear equations: 2x + y + z = 3, -x + 2y + 2z = 1 and x - y - 3z = -6. Noting that each equation represents a plane, interpret your results.
Thank you, very much for taking the time to help me, most appreciated
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
first take these two equations:

(multiply both sides by in this one)
then we will have

now we will eliminate by adding them and it will be:

now divide both sides by ,and we will have:

then we have
which we can put in third equation

and we will have

from this equation

since we have and , we can use them to calculate :
let use the second equation

substitute and

now is easy to calculate and

SOLUTION: Could you please take the time to help me solve this question: Solve the following system of three linear equations: 2x + y + z = 3, -x + 2y + 2z = 1 and x - y - 3z = -6. Noting th