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=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.

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