Math - number of solution
posted by Shaila .
Determine the number of solutions for the system without solving.
Transform each equation to the form
where m=slope and b=y-intercept.
If the slopes (m) are distinct (different), then there is one solution.
If the slopes are identical, then check the y-intercepts. If the y-intercepts are different, there is no solution (lines are parallel and distinct).
If the slopes are identical and the y-intercepts are the same, then there are infinite solutions (lines are coincident).
In this case, there is one solution.
How many solutions are there to the following system of equations?