Question

Solve the system. - 5X - Y = 7 y-2z = 5 x - 2y + z = -9 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {(1,1))}. (Simplify your answers.) OB. There are infinitely many solutions. OC. There is no solution.

Answer 1

Gluen -5x -y - 7 y-22-5 X-2 y + z = 9 write the the system of equations in matria form 5 -1 0 7 O -25 -9 - - 2 R3 IS RI R2 RI 2 al- - 3 - 9 - 2 5 0 -2 R2- Rz? -R, ule ut yuln 1 5 - 38 -2 S 0 R - - 5 R2 7 o 's ly 38 no 11 - 2 5 RI R, - RL R₂ R3 R₃ - R2

-23 o 38 0 O O F1 = R3 -12 R3 -> -1/ 17 23 F 5 38 O O O R, R, • R, À R3 R₂ + R₂ R₂ R2+ O -2 이 O 3 Lo 1 the final use the result matria to declare solutions to the system of equations OC ~2 y = 3 Z. -1 A. There is one solution. The solution vet is -2,3,-1)}