math

How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant?

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) and 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.

  1. 👍 0
  2. 👎 0
  3. 👁 768
asked by maddie
  1. 1.(-1/2,-5/2),(2,5) follow me on instagram famous_jaylan
    2.0
    3.-1,19
    4.-9,9
    5.exponential
    6.a
    7.d
    8.c
    9.b
    10.y=-2x^2+4 is just 4 units up from y=-2x^2

  2. 7 and 9 are wrong

    1. 👍 0
    2. 👎 2
  3. The answers are correct i just took the quiz

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math (?)

    5x-4y=24 4y-5x=-24 what is the solution of the systme of equations? ( i guess no solution) is the sytem consistant or inconsistant? (i guess consistant) is it dependent or independent (i guess dependen)

    asked by scooby9132002 on July 1, 2009
  2. Math

    6x -5y =20 and 5y - 6x = -20 A) No Solution B) Infinity C) A Point Consistant or Inconsistant Depdendant or Independant

    asked by Susie on May 27, 2010
  3. Math 116

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

    asked by katie on September 22, 2011
  4. Math

    How do you know whether a system of equations has no solution, one solution, ormany solutions? How can you identify whether a system is consistent or inconsistent???? Please Help me!!!! Thanks so much! I believe it is consistant

    asked by Helen on December 12, 2006
  5. 8th grade algebra

    same slope?? y=-3x+7 y=3x+33 and what type equation? dependent consistant? independent? inconsistant?

    asked by Dune on January 8, 2009
  6. Algebra

    mkayy. suhh i have this math question that i don't understand. Do these two exuations have the same slope? i know like ones a negative, other positive but Im confused. y=-3x-7 y=3x+33 So, same slope? yea? no? and what type of

    asked by Dune on January 8, 2009
  7. math am i correct?

    5x-4y=24 4y-5x=-24 what is the solution of the systme of equations? ( i guess no solution) is the sytem consistant or inconsitatn? (i guess con) is it dependent or independent (i guess dependen)

    asked by scooby9132002 on July 2, 2009
  8. math (am i correct)

    5x-4y=24 4y-5x=-24 what is the solution of the systme of equations? ( i guess no solution) is the sytem consistant or inconsitatn? (i guess con) is it dependent or independent (i guess dependen)

    asked by scooby9132002 on July 1, 2009
  9. math check answer

    Solve by elimination method 3x - 6y =4 3x - 6y =5 is the answer x=9 and I think it is inconsistant and not consistant

    asked by Christy on July 6, 2010
  10. Math

    Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so 5x-2y=3 10x-4y=6 I know the equations are dependent but I am confused on what is the solution set I'm

    asked by Lataya on November 22, 2015

More Similar Questions