Answer:
<em>x=4, y=1, z=2</em>
Step-by-step explanation:
<u>System Of 3 Linear Equations</u>
When 3 variables x,y,z are related through 3 independent linear equations, we could find a combination of them which makes the 3 equations become identities. That can be achieved in a very high number of methods.
Let's solve the system of equations shown in the question
Let's add the first and third equation to eliminate x:
Solving for z
Now we multiply the third equation by 3 and sum it to the second
We know that x=2y, so
This gives us
From the very first equation we solve for x
Replacing y=1, z=2, we get
The solution is
x=4, y=1, z=2