Question

X+2y-z=3 -2x-y+z=-1 6x-3y-z=-7
Write the ordered triple in terms of x

Answer 1

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Answer:

(x, y, z) = (x, x+2, 3x+1)

Explanation:

We can add twice the second equation to the first to get ...

[eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

[eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

z = 3x +1

Solving [eq5] for y gives ...

y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).