What are infinitely many solutions

If you are not familiar with the riddle, you can stop here and try.A consistent pair of linear equations will always have unique or infinite solutions.Note that a 1 2 + b 1 2 ≠ 0, a 2 2 + b 2 2 ≠ 0.B) on solving this equation:Multiply both sides by 3.

The confusing part is that they then go and consider the final row of the system and set it equal to zero, eg.It is given that the system has infinitely many solutions.A 2 x + b 2 y + c 2 = 0.A 1 x + b 1 y + c 1 = 0.3x + 3y + 3z = 3.

The solution expresses the system in the form.Which of the following system of equations has infinitely many solutions?If slopes also are equal, then the lines will coincide and the system will have infinitely many solutions.There is an infinite number of solutions to this equation.If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

Here is an example of the second case:Let us consider the pair of linear equations in two variables x and y.