Solve for (x, y, z), if there is a solution to the given system of linear equations:
x - 3y - 2z = -3
3x + 2y - z = 12
-x - y + 4z = 3

x=4, y=1, z=2

Step-by-step explanation:

System Of 3 Linear Equations

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

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years