Math  /  Algebra

QuestionSolve the system of linear equations and check any solutions algebraic number a.) {x+2y7z=72x+y+z=283x+9y36z=63(x,y,z)=()\begin{array}{l} \left\{\begin{array}{rr} x+2 y-7 z= & -7 \\ 2 x+y+z= & 28 \\ 3 x+9 y-36 z= & -63 \end{array}\right. \\ (x, y, z)=(\square) \end{array}

Studdy Solution
The solution is (x,y,z)=(213t,14+5t,t)(x, y, z) = (21 - 3t, -14 + 5t, t), where tt can be any real number.

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