When a pair of linear equations is said to be inconsistent?

A pair of linear equations is said to be inconsistent if it has:

When a system of linear equations said to be consistent. For what value of k will the equations 3x + 4y + 2 = 0 and 9x + 12y + k = 0 are dependent ?

Find whether the following pair of linear equations is consistent or inconsistent: 3x+ 2y= 8 and 6x- 4y= 9

Sam went for an outing with his friends.They went to dominos to enjoy the delicious pizza. He was enjoying the pizza with his friends and share with them by slicing it. During slicing the pizza. he noticed that the pair of linear equations formed. (i.e.,straight lines) Let these pair of linear equations be y - 2x = 1 and 5y-x=14. If a pair of linear equations in two variables is inconsistent, then the lines represented by two ·equations are:

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: x+y=5, 2x + 2y= 10

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: x-y= 8, 3x- 3y= 16

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: 2x+ y- 6= 0, 4x- 2y- 4=0

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: 2x- 2y-2= 0, 4x- 4y-5= 0

On comparing the ratios (a_(1))/(a_(2)), (b_(1))/(b_(2)) and (c_(1))/(c_(2)) , find out whether the following pair of linear equations are consistent, or inconsistent. 3x+ 2y=5, 2x- 3y= 7

On comparing the ratios (a_(1))/(a_(2)), (b_(1))/(b_(2)) and (c_(1))/(c_(2)) , find out whether the following pairs of linear equations are consistent or inconsistent. x - 5y =7 and -3x +15y =8