Explain Solution R.D. Sharma Class 12 Chapter 5 deteminants Exercise 5.4 Question 28 maths Textbook Solution.
Hint: Use Cramer’s rule for system of linear equations.
Now for x, the x column is replaced with constant column i.e.
If we are solving for y, the y column is replaced with constant column i.e.
If we are solving for z, the z column is replaced with constant column i.e.
The given system has either infinite solutions or it is inconsistent.
Using Cramer’s rule,
Let z = 3k, then x = k and y = 2k
Concept: Solving matrix of order 3x3 by Cramer’s rule.
Note: When D = 0, there is either no solution or infinite solutions.