SOLUTION: explain how you can deteremine whether a pair of linear equations has a unique solution.

Question 249503: explain how you can deteremine whether a pair of linear equations has a unique solution.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
if the determinant is zero there is one solution.
b^2-4ac is the determinant from the quadratic formula.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -1, -1. Here's your graph:

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