Wednesday

September 17, 2014

September 17, 2014

Posted by **Dee** on Sunday, September 11, 2011 at 4:58pm.

4x−8y−24z=−20

x−2y−6z=−5

3x−6y−18z=15

- Finite Math -
**MathMate**, Sunday, September 11, 2011 at 9:21pmBy inspection, we see that the first equation is a linear combination (4 times) the second equation. Similarly, the third equation can be obtained by multiplying equation 2 three times.

Therefore the equations represent 3 coincident lines:

x-2y-6z=-5

Let z = t, and y = s, then we can solve for x in terms of s and t:

x = -5 +2s + 6t

y = s

z = t

**Answer this Question**

**Related Questions**

MATH - solve the system of linear equations using the Gauss- Jordan elimination ...

college Algebra - Write the system as a matrix and solve it by Gauss-Jordan ...

finite math - Determine whether each system of linear equations has a)one and ...

Math - Solve the system of equations using the addition (elimination) method. If...

Algebra - Checking a few answers to some algebra problems: 1.Find the slope of ...

Pre-Calculus - Solve for x,y,z, & w using the Gauss-Jordan Elimination Method 5x...

Linear Equations - Solve using the elimination method. If the system has no ...

algebra - Solve the system of equations using the addition (elimination) method...

Linear Equations - Solve using the elimination method. If the system has no ...

Algebra - Solve the following system of equations by the elimination method. 1/...