can i please get help please as soon as possible

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

Question 1:

The system is dependent because

the third equation = 2 × second equation - first equation

The first two equations are independent and consistent,

but having more variables than equations --

the number of solutions is infinite.

The answer is D.

Question 2:

The answer is B., because that is the definition of "down 3 units".

Question 3:

The answer is A.) triangle.

It is obtained by drawing the three lines obtained by replacing inequality signs

with equality, and then shading the side of each line indicated by the direction

of the inequality.