Find the complete solution of the linear system, or show that it is inconsistent.
x + y + z = 8
x + 3y + 3z = 16
2x + y − z = 10

Step-by-step explanation:

Let's add equation a and c to make a new equation in which z is not a variable.

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Now let's add equation b and c, but first, multiply equation c by 3, so that the z's will be eliminated.

Add b and e.

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Now you have a two variable system of equations (d and f)

You can solve this by multiplying by equation d by 6 and equation f by -2

Leaving our equations like;

Add them to eliminate y

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solve for x;

Replace x in either d or f, to find y

Now that you have found x and y, replace them in either a, b, or c, to find z

To make sure that you have found the right values, replace all three variables in any of the equations and it should be equal.

you cant answer this dummy

step-by-step explanation:

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