If the system of linear equations $$x1+2x2+3x3=6$$,$$x1+3x2+5x3=9$$,$$2x1+5x2+ax3=bis$$ consistent and has infinite number of solutions, then

Question

If the system of linear equations $$x1+2x2+3x3=6$$,$$x1+3x2+5x3=9$$,$$2x1+5x2+ax3=bis$$ consistent and has infinite number of solutions, then

Infinity Learn · Accepted Answer

Augmented Matrix $$=1236135925ab$$                                  Apply $$R2$$→$$R2-R1$$;$$R3$$→$$R3-2R1$$                                 ~$$1236012301a-6b-12$$                                      Apply $$R3$$→$$R3-R2$$                                  ~$$1236012300a-8b-15Thus$$,if $$a=8$$ and $$b=15$$,then the system is consistent, with an infinite no. of solutions.

If the system of linear equations $x_{1} + 2 x_{2} + 3 x_{3} = 6,$ $x_{1} + 3 x_{2} + 5 x_{3} = 9$ , $2 x_{1} + 5 x_{2} + a x_{3} = b$ is consistent and has infinite number of solutions, then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the system of linear equations x1+2x2+3x3=6,x1+3x2+5x3=9,2x1+5x2+ax3=bis consistent and has infinite number of solutions, then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the system of linear equations $x_{1} + 2 x_{2} + 3 x_{3} = 6,$ $x_{1} + 3 x_{2} + 5 x_{3} = 9$ , $2 x_{1} + 5 x_{2} + a x_{3} = b$ is consistent and has infinite number of solutions, then