Given the system of equations 2 x − 3 y − 9 z = 9 x + 3 z = 3 − 3 x + y − 4 z = − 10 (a) determine whether the system is inconsistent or dependent; your answer is (input inconsistent or dependent) dependent correct (b) if your answer is dependent in (a), find the complete solution. write x and y as functions of z .

Dependent

Step-by-step explanation:

We are given that system of equations

(Equation I)

( Equation II)

(Equation III)

Equation III multiply by 3 and then add to equation I then we get

Divided by -7 then we get

Now , obtained equation subtract from equation II then we get

0=0

Hence, equation II is a linear combination of equation I and equation III.

Therefore, system is dependent because system has infinite solutions.

Substitute the value of x in equation I then we get

a

step-by-step explanation:

if you was gonna solve for a, a is a   < -12