  Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state.8x y +2z = -303X + 2y -Z=42x + 2y-3zSelect the correct choice below and fill in any answer boxes within your choice.O A. There is one solution. The solution set is {((Simplify your answers.)OB. There are infinitely many solutions.O C. There is no solutionntessessClick to salect and anter your answerls) and then elick Check AnsirerLibriAll parts showwingideebe here to searchChpHEWL E TTP ACKARDfo14416fef4fshotnIOl&45

Question help_outlineImage TranscriptioncloseSolve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 8x y +2z = -30 3 X + 2y -Z= 4 2x + 2y-3z Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {( (Simplify your answers.) OB. There are infinitely many solutions. O C. There is no solution nt ess ess Click to salect and anter your answerls) and then elick Check Ansirer Libri All parts showwing ide e be here to search Chp HEWL E TTP ACKARD fo 144 16 fe f4 fs ho tn IOl & 4 5 fullscreen
Step 1

We have been given a system of linear equation in 3 variables that we need to solve. help_outlineImage Transcriptionclose8х - у + 2z %3D—30 х+2у-z%3 2х+2у-3z %3D 4 fullscreen
Step 2

First we will make the coefficients of variable y equal in all the equations and then eliminate the variable y by considering two equations at a time. Upon doing so, we get a system of linear equations in 2 variables as shown below: help_outlineImage Transcriptionclose2(8.x-2z= -30)-»16x-2y+4z =-60 x2y-z3 2х+2у -32 %3 4 17x 3z57 18x 56 fullscreen
Step 3

Now we will solve this sytem in variable x and z first. And then we can easily find the value of... help_outlineImage Transcriptionclose17x 3z-57 56)-> 54x+3z =-168 3(18x 111 -37x 111->x = -37 -3 17x 3z57>17(-3)+3z -57->-51+3z=-57 z = -2 3z-6 x2y 3-3 +2y -(-2) = 3->2y-1 3 2y 4y 2 fullscreen

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Equations and In-equations 