please help because been needing help for many hours with homework

Question

Question 1: Classify the system and identify the number of solutions.

x − 2y + z = −7

x − 5y − z = −5

x − 8y − 3z = −3

A.) consistent, independent; one

B.) inconsistent; none

C.) consistent, dependent; none

D.) consistent; dependent; infinite

Question 2: Let g(x) be the transformation of f(x) = |x| down 3 units. Identify the rule for g(x) and its graph.

A.) g(x) = |x − 3|

B.) g(x) = |x| − 3

C.) g(x) = |x| − 3

D.) g(x) = |x − 3|

Question 3: Identify the graph that represents the given system of inequalities and the classification of the figure created by the solution region.

A.) triangle

B.) quadrilateral

C.) triangle

D.) quadrilateral

Please just only give solution and explanation.

Answer 1

Eq1 - Eq2:

3y + 2z = -2

Eq2 - Eq3:

3y + 2z = -2

Eq1 - Eq3:

6y + 4z = -4

which is 3y + 2z = -2

dependent; infinite solutions

|x|-3 B