Find the complete solution of the linear system, or show that it is inconsistent. (if the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. if there is no solution, enter no solution.)

x − y + 2z = 1
3x + y + 5z = 19
2x − y − 2z = −17
(x, y, z) = ( )

The solution of equation is :(-2,5,4)

Step-by-step explanation:

x - y + 2z = 1

..[1]

3x + y + 5z = 19  ..[2]

2x - y - 2z = -17 ...[3]

Putting value of y from [1] in [2]and [3]

y = x+ 2z -1

3x + (x+ 2z -1) + 5z = 19  

4x + 7z = 20  ...[4]

2x - (x+ 2z -1) - 2z = -17

x - 4z = -18   ...[5]

Solving equation [4] and [5] by substitution:

Putting values of x from [5] in [4]

x = 4z -18

4(4z -18) + 7z = 20  ...[4]

16z - 72+ 7z =20

23z = 92

z = 4

x =

(x,y,z)= (5.-2,4)

The solution of equation is :(-2,5,4)

"if it is my birthday, then it is snowing"

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column