Asystem of three linear equations in three variables is consistent and dependent. how many solutions to the system exist?
-none
-one
-three
-infinite

Given a system of three linear equations in three variables which is consistent and dependent.

A system is said to be consistent if it has at least one solution. A system which has no solution is said to be inconsistent.

A consistent solution is said to be independent if it has only one solution and is said to be dependent if it has an infinitely many solutions.

Therefore, given a system of three linear equations in three variables which is consistent and dependent, the system has an infinitely many solutions.

Answer:

the image is given below

step-by-step explanation:

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this