Question

For all real value of c the pair of equtions x+2y=8 and 5x-10y=c has a unique solution justify whether it is true of false

Answer 1

Solution :

False, the given pair of linear equations <br> x - 2y - 8 = 0 <br> and<br> Here,<br><br> Now,<br><br> But if c = 40 (real value) , then the ratiobecomesand then the system of linear equations has an infinitely many solutions. <br> Hence, at c = 40, the system of linear equations does not have a unique solution.