Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations.

2x + y = 8
6x + 3y = 24

A. system is inconsistent
B. system contains dependent equations

b ?

  1. 👍
  2. 👎
  3. 👁
  1. Yes it's B, since it can be seen clearly that the simplified version of the second equation is equal to the first equation.

    1. 👍
    2. 👎
  2. note the determinant of

    2 1
    6 3

    is 6 - 6 = 0

    therefore the solutions using Cramer's Rule are undefined

    1. 👍
    2. 👎
  3. thank you guys :)

    1. 👍
    2. 👎
  4. the solution would be:

    ( det 8 1 det 2 8
    24 3 6 24
    _____ ______
    det 2 1 2 1
    6 3 , 6 3 )

    which is (0/0, 0/0) The zero in the denominator indicates that the system can not be solved using cramer's rule and is therefore not consistent and independent.

    I have not read this but would conjecture that The zeros in the numerator indicate
    that the system is consistent and dependent.

    ( If it were an inconsistent system, we would expect that both numerators would be non-zero, and not equal to each other)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 1

    1.) Which best describes a system of equations that has no solution? A. Consistent, independent B. inconsistent, dependent C. consistent, dependent D. inconsistent** 2.) How many solutions does this system have? 2x+y=3 6x=9-3y A.

  2. Math

    Which best describes a system of equations that has infinitely many solutions? consistent, independent inconsistent, dependent consistent, dependent inconsistent How many solutions does this system have? y = x + 5 y = -5x - 1 one

  3. Algebra Linear Inequalities Help

    8. The system below has the solution of (1,3) where A, B, C, D, E, and F are all nonzero real numbers. Ax+By=C, Dx+Ey=F Which of the following systems would not have (1,3) as the solution? A- Ax+By=C & (2A-D)x+(2B+E)y=C-2F B-

  4. Algebra 1

    How many solutions does this system have? y=x+5 y=−5x−1 A. One B. None C. Infinite D. Two** Which best describes a system of equations that has infinitely many solutions? A. Consistent, independent B. Inconsistent, dependent

  1. Augmented Matrix

    Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. DO ALL WORK BY HAND. x + 2y + 4z = 6 y + z = 1 x + 3y + 5z =10 If one subtracts the

  2. Algebra 2(check pt 4)

    1)Cramer's Rule is used to solve the system of equations:3m-5n=12,4m+7n=-5 Which determinant represents the numerator for n? answer=[12 -5] [-5 7] 2)Cramer's Rule is used to solve the system of equations:3x-y+2z=17,4x+2y-3z=10,and

  3. math

    Determine whether the ordered pair is a solution of the inequality (5, 12); 6y-7x.7 Is the ordered pair a solution of the inequality? no or yes solve the system of equations by graphing. Then classify the system as consistent or

  4. Math 1

    Consider the following system of equations. y = 4x - 4 y - 4x = 3 What can you conclude about the system of equations? A) The system of equations is inconsistent. B) The system of equations is dependent. C) The system of equations

  1. Algebra

    A system of equations representing two different vertical lines is: a) consistent independent b) consistent dependent c) inconsistent d) inconsistent independent Could someone explain this to me? Thanks!

  2. 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

  3. Math

    Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent. Explain. Answer: When you multiply the second equation by 2/3, both equations become equal. Therefore there are

  4. college Algebra

    Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x, y, or z.) x + y + z = 7 2x + y + z = 14 x + 2y + 3z = 2

You can view more similar questions or ask a new question.