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.

- Math - number of solution -
**Anonymous**, Sunday, May 24, 2015 at 10:09pm
How many solutions are there to the following system of equations?

3x-9y=0

-x+3y=-3

## Answer This Question

## Related Questions

- math - How many solutions does the following system have: 2x + 5y = 10 3x + 6y...
- algebra - How many solutions does the following system have: 6x - 3y = 9 2x - y...
- Algebra - Make a conjecture about the solution of a system of equations if the ...
- math - Determine the number of solutions for the following system of equations ...
- algebra 2 - Classify the system , and determine the number of solutions. This ...
- Mathxxx!!! - 1. How many solutions does the equation have? 4x+3=2(2x+9) a.one ...
- Algebra 2 - I need help with this problem because I do not have a graphing ...
- math - Identify the solution(s) of the system of equations, if any. -2x-4y=1 12y...
- math - Solve each system graphically. Be sure to check your solution. If a ...
- Math - how many solutions does the equation have 4x + 3=2(2x +9) 1 one solution ...

More Related Questions