sjid5150
contestada

PLEASE HURRY!!
Mildred classifies the following system of equations.

y = 4x + 3

y = 6x + 1

Select Correct or Not correct for each statement.

Statements:
The system is consistent because the slopes and the y-intercepts are different.
The system is independent because the slopes and the y-intercepts are different.

Respuesta :

The first statement is correct and the second statement is not correct as it is derived from the first statement,

We are given two equations;

y = 4x + 3

y = 6x + 1

From the equation of line in slope intercept form, the formula is;

y = mx + c

where;

m is slope

c is y intercept.

  • Thus, in the 2 equations given, we can see that the slopes and y-intercepts are different

  • Now, when two equations have different slopes and different slopes, the system is said to have only one solution and can be said to be consistent.

  • Now, a system is only said to be independent if it is consistent and has exactly one solution.

This means independency of an equation depends on if it is consistent and has exactly one solution.

Thus, in conclusion, the first statement is correct and the second one is not correct as it is derived from the first statement,

Read more at;  https://brainly.com/question/19282045

Otras preguntas