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

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

step-by-step explanation:

bob the banana