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Math  /  Algebra

Question1 Points] DETAILS MY NOTES LARPCALC11 8.1.076.MI. ASK Y
Use matrices to solve the system of linear equations, if possible. Use Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If there are inf solutions, express x,yx, y, and zz in terms of the real number aa.) {2x+2y−z=10x−3y+z=−40−x+y=18(x,y,z)=(□)\begin{array}{c} \left\{\begin{array}{cr} 2 x+2 y-z= & 10 \\ x-3 y+z= & -40 \\ -x+y= & 18 \end{array}\right. \\ (x, y, z)=\left(\begin{array}{c} \square \end{array}\right) \end{array} Need Help? Read It Watch It Master It

Studdy Solution
Interpret the results to find the solution.
The matrix is now in reduced row-echelon form, which corresponds to the system: \begin{align*} x &= -6.5 \\ y &= 10.5 \\ z &= -2 \end{align*}
Thus, the solution is: (x,y,z)=(−6.5,10.5,−2)(x, y, z) = (-6.5, 10.5, -2)
The solution to the system of equations is:
(x,y,z)=(−6.5,10.5,−2)(x, y, z) = (-6.5, 10.5, -2)

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