What are the answers to: 1) y = x/2 and y = x + 2 2) 4x - 6y = 12 and -2x + 3y = -6 3) 8x - 4y = 16 and -5x - 5y = 5 4) 2x + 3y = 10 and 4x + 6y = 12 5) y = -3x/2 + 5 and y = -2x/3 + 5 6) y = x - 3 and y = -4x + 3

The correct answers are 1) ( -4,-2 ); 2) Infinite solution; 3) ( 1,-2 ); 4) No solution; 5) ( 0,5 ); 6) ( ).

Step-by-step explanation:

1) y = x/2 and y = x + 2

⇒ x = 2x + 4

⇒ x = -4

⇒ y = -2

2) 4x - 6y = 12 and -2x + 3y = -6

If we multiply -2x + 3y = -6 by (- 2) we get both the equation of line as the same. Thus we get an infinite number of common points,i.e. infinite solution to the pair of line.

3) 8x - 4y = 16 and -5x - 5y = 5

⇒ 2x - 4y = 4 and -x - y = 1

Subtracting one equation from the other gives x = 1 and y = -2.

4) 2x + 3y = 10 and 4x + 6y = 12

There are no solution to the pair of lines as both the lines are parallel and they would never meet.

5) y = -3x/2 + 5 and y = -2x/3 + 5

⇒ 2y + 3x = 10 and 3y + 2x = 15

⇒ 6y + 9x = 30 and 6y + 4x = 30

Subtracting one from the other gives x = 0 and y = 5.

6) y = x - 3 and y = -4x + 3

⇒ x -3 = -4x + 3

⇒ x =

⇒ y =

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.

i think 1: 2

step-by-step explanation: