For what value(s) of will the system of equations,

have:

a) a unique solution?

b) no solution?

c) an infinite number of solutions?

Printable View

- Apr 18th 2010, 08:59 AMshawlisimultaneous equations in matrices - 3 solutions
For what value(s) of will the system of equations,

have:

a) a unique solution?

b) no solution?

c) an infinite number of solutions? - Apr 18th 2010, 09:09 AMHallsofIvy
Try solving it! For example, you can multiply the first equation by 2 and the second equation by m and subtract to eliminate y:

Now, if the denominator is not 0, there is a unique solution. If the denominator is 0 and the numerator is not, there is no solution. If both numerator and denominator are 0, there are an infinite number of solutions.