Math  /  Algebra

QuestionSolve the system of linear equations using the elimination method. 13x23y+z=12x34y+z=2xy+z=2xy+4\begin{array}{l} \frac{1}{3} x-\frac{2}{3} y+z= \\ \frac{1}{2} x-\frac{3}{4} y+z= \\ -2 x-y+z= \\ -2 x-y+4 \end{array}
The unique solution to the system is \square \square , ). (Type an exact answer in simplified form.)

Studdy Solution
Verify the solution by substituting x=94x = -\frac{9}{4}, y=92y = \frac{9}{2}, and z=74z = \frac{7}{4} into all original equations to ensure they are satisfied.
The solution is:
(x,y,z)=(94,92,74)(x, y, z) = \left(-\frac{9}{4}, \frac{9}{2}, \frac{7}{4}\right)

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