Solve the system using the gauss-jordan method. 2x – 3y – 9z = 12 4x + 5y – 6z = –14 –5x + 3y – 9z = 21 a. (–3, 7, –5) b. c. no solution d.

Step-by-step explanation:

We are given the equations,

2x - 3y - 9z = 12

4x + 5y - 6z = - 14

-5x + 3y - 9z = 21

Then, the augmented matrix is given by,

Now, we will apply some rules to get the row-echlon form of the matrix.

1. .

This gives,

2. and

We get,

3.

So,

4. and

We get,

5.

We get,

6. and

So,

Thus, we get,

x = -3, y = -2 and z = .

Hence, the solution is .

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

whatare you sayig

step-by-step explanation: