Posted by Shaila on Saturday, August 28, 2010 at 4:55am.
Determine the number of solutions for the system without solving.
3x+12y=27
4x+2y=34

Math  number of solution  MathMate, Saturday, August 28, 2010 at 6:36am
Transform each equation to the form
y=mx+b
where m=slope and b=yintercept.
If the slopes (m) are distinct (different), then there is one solution.
If the slopes are identical, then check the yintercepts. If the yintercepts are different, there is no solution (lines are parallel and distinct).
If the slopes are identical and the yintercepts are the same, then there are infinite solutions (lines are coincident).
In this case, there is one solution.

Math  number of solution  Anonymous, Sunday, May 24, 2015 at 10:09pm
How many solutions are there to the following system of equations?
3x9y=0
x+3y=3
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