Provide solution for RD Sharma maths class 12 chapter Solution of Simultaneous Linear Equation exercise 7.1 question 3 subquestion (vi)
Consistent equation means two or more equations that are possible to solve based on using set of values for the variables.
So, A is singular. Thus the given system of equation is either inconsistent or it is consistent with indefinitely many solutions because
If |A| = 0 and (adjA)B = 0 then the system is consistent and has infinitely many solutions.
Thus, AX = B has infinitely many solutions
Substituting y = k in eqn (i) and eqn (ii), We get
The values of x and y and z satisfy the third equation.
Where ‘ ’ is a real number satisfy the given system of equations.