The first equation in a system is 5x + 2y = –4. Which equation gives a system with no solution? A. y = 2x + 6 B. y = 1/4x – 2 C. y = 2x + 7 D. y = –5/2x – 3

Given:

The first equation of the system of equations is

To find:

The equation that gives a system with no solution.

Solution:

We have,

It can be written as

On comparing this equation with slope intercept form , we get

It means the slope of the line is and the y-intercept is -2.

Slope of parallel lines are same but the y-intercepts are different.

From the given options, the slope of the line is only in option D and the y-intercept is -3 which is different from -2.

The line is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is .

Therefore, the correct option is D.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.