Provide Solution For R.D. Sharma Maths Class 12 Chapter 5 determinants Exercise 5.4 Question 2 Maths Textbook Solution.
Hint: Use Cramer’s rule to solve a system of two equations in two variables.
Solution: First D: determinant of the coefficient matrix
Now, . If we are solving 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
Concept: Cramer’s rule for system of two equations.
Note: Cramer’s rule will give us unique solution to a system of equations, if it exists. However, if the system has no solution or an infinitive number of solutions, that is determinant is zero.