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Find the complete solution of the linear system, or show that it is inconsistent. {x+y+z =4 {x+3 y+3 z =10 {2 x+y-z =3

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Final answer:

To solve the linear system, use the method of substitution. Find the value of z first by expressing it in terms of x and y. Substitute this value of z into the other two equations to find the values of x and y.

Step-by-step explanation:

To solve the linear system, we can apply the method of elimination or substitution. Let's use substitution to find the value of z first. From the first equation, we can express z in terms of x and y as z = 4 - x - y. Substituting this value of z into the other two equations, we get x = -1 and y = 3. Therefore, the solution to the system is x = -1, y = 3, and z = 2.

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