webwurk.rnath.Ilu.edu/webwerk2/sp\' 1 adr 101Horiewurk 1/T (1 point) Solve the s

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webwurk.rnath.Ilu.edu/webwerk2/sp' 1 adr 101Horiewurk 1/T (1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. reduced row-echelon form: -4 If there is one sclution, give its coordinates in the answer spaces below in terms If there are infinitely many solutions, enter t in the answer blank for z, enter a formula for y in terms of t in the answer blank for y and enter a formula for of 1 In the answer blank for If there are no solutions, leave the answer blanks for z, y and a empty Note: You can eam partial credit on this probiem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problerm 2 times. O Type here to search 0% PM 131/2018 3

Explanation / Answer

According to the row reduced echelon form, the original system of equations now becomes,

x + 0.y + 0.z = 6 , i.e , x=6

And, 0.x + 1.y + 2.z = -4 , i.e , y + 2z = -4

Now, since we are left with the only equation, y + 2z = -4 but with 2 unknowns, we need to set one of the variables as a free variable.

Set, z = t , t is a real number

Then, y = -4-2t

So the solution of the system is,

x = 6, y = -4-2t , z = t

Thus we have infinite solutions of the system corresponding to different values of t

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