See what could be the condition for a given system of linear equation to be inconsistent .

Draw the graphs of the two lines and check where the two lines intersect.

Draw the graphs of the two lines and check where the two lines intersect.

Solve using determinant and then it's equal to zero.

Draw graphs of the equations and then check where the two lines intersect.

Assume number of multiple type questions be x and number of short answer type question be y.Set up the linear equation according to given conditions.As the total number of questions is 75,So first equation comes out to be x+y=75. And next equation can be set up by using the given conditions.

Intersecting lines means there is a unique solution.

Let one numberÂ be x and other be y .Now frame linear equation according to the given condition . Solve the equations graphically.

At first we subtract 6 from each side.

Then, we divide each side by 4.

Solve using determinant and then it's equal to zero.