Friday

November 21, 2014

November 21, 2014

Posted by **True** on Sunday, July 22, 2012 at 6:09pm.

-1x + 7y + 2z = 6

2x + 1y + kz = -11

3x - 6y - 2z = -25

A.5

B.0

C.-2

D.-8

- ALGEBRA 2 -
**MathMate**, Sunday, July 22, 2012 at 6:33pmA system of equations does not have a unique solution when the equations are not linearly independent. The equations are linearly independent if none of the left-hand side of the equations can be represented as a linear combination of the others.

If we add equations (1) and (3)

-1x + 7y + 2z = 6 ...(1)

3x - 6y - 2z = -25 ...(3)

we get

2x +1y + 0z = -19 ...(2A)

Examine the left-hand side of equation (2A) carefully.

What value of k in equation (2) would make its left-hand side identical to a linear combination of (1) and (3), namely equation (2A)?

**Answer this Question**

**Related Questions**

algebra - Consider the following system of inequalities: {(c-1)x^2+2cx+c+4<0...

algebra - Consider the following system of inequalities: {(c−1)x^2+2cx+c+4...

mathematics please help! - For what value of k does the system below not have a ...

maths - Consider the following system of inequalities: {(c−1)x^2+2cx+c+4&#...

MAths - Consider the following system of inequalities: (c−1)x^2+2cx+c+4&#...

math - two systems of equations are given below for each system, choose the best...

math - two systems of equations are giving below for each system choosethe best ...

math - the system of linear equations below has a unique solution for all but ...

Linear Algebra - Consider the system x-2y=k-1 4x+(1-k^2)y=8 For what values of k...

Algebra - Suppose a linear system of equations has 2012 equations and 2013 ...