Tuesday

January 27, 2015

January 27, 2015

Posted by **maddie** on Friday, July 27, 2007 at 1:31pm.

If you find no solutions then the system is inconsistent.

Suppose you have N variables and M equations (N larger than or equal to M). Then, if you obtain a N-M dimensional solution space, i.e. the solution contains N-M undetermined parameters, the M equations are independent and consistent.

If the dimension of the solution space is larger, then the set of equations is dependent.

Also, if M is larger than N and there are solutions then the equations are dependent.

Thanks for the help but that made no sense to me. This is the problem I have:Choose the correct description of the system of equations. x+2y=7 and 3x-2y=5. I tried to solve it and I got (7,8) adn I have to tell if its consistant etc.

If you add the equations you get:

4 x = 12 -->

x = 3

If you insert x = 3 in the first equation you get

2 y = 4 --->

y = 2

We found a solution, so the system of equations is consistent. We have two variables and two equations. N = 2, M= 2 and thus N - M = 0. The solution has no free parameters if the equations are independent. That's the case here.

**Answer this Question**

**Related Questions**

math (?) - 5x-4y=24 4y-5x=-24 what is the solution of the systme of equations...

Math - 6x -5y =20 and 5y - 6x = -20 A) No Solution B) Infinity C) A Point ...

Intermediate Algebra - Solve the system of equations by graphing. Then classify ...

Intermediate Algebra - Solve the system of equations by graphing. Then classify ...

Math - How do you know whether a system of equations has no solution, one ...

Algebracan you answer my question - Solve the system by graphing. (If the system...

Math 116 - would the graph of 8x+5y=35 be consistant or non consistant? I think ...

Math 116 - Consider the following system of equations. y=2x-2 y-2x=9 What can ...

Algebra 1 - "Solve each system algebraically. Identify each system as cosistent ...

math - Consider the following system of equations. y = 2x - 2 y - 2x = 7 What ...