ILL GIVE BRAINLIEST PLZ ANSWER A consistent, dependent system of equations is a system with . (1 point)

only one line
intersecting lines that have different slopes and different y-intercepts
intersecting lines that have the same slope but different y-intercepts
intersecting lines that have the same slope and the same y-intercept

Option A. Intersecting lines that have different slopes and different y-intercepts.

Step-by-step explanation:

we know that

A system of two linear equations can have one solution, an infinite number of solutions, or no solution.

If a system has at least one solution, it is said to be consistent

If a consistent system has exactly one solution, it is independent

If we have intersecting lines that have different slopes and different y-intercepts

then

will have one solution

therefore

The system will be consistent independent

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya