Homework Help: Finite Math

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

Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions involving one parameter, enter the solution using t for the last variable. If the solution involves two parameters, add s for the second to last variable.)

4x−8y−24z=−20
x−2y−6z=−5
3x−6y−18z=15

Finite Math - MathMate, Sunday, September 11, 2011 at 9:21pm
By 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 ...
Math - Please help! x-2y+z=7 2x+y-z=0 3x+2y-2z=-2 a. Solve the above system of ...
Pre-Calculus - Solve for x,y,z, & w using the Gauss-Jordan Elimination ...
College Algebra - Please help! x-2y+z=7 2x+y-z=0 3x+2y-2z=-2 a. Solve the above ...
Linear Equations - Solve using the elimination method. If the system has no ...
Linear Equations - Solve using the elimination method. If the system has no ...
Finite Math - Discuss the differences between the echelon method and the gauss-...
algebra 1 - Got a test tomorrow... Say you have a system of equations (linear), ...
Algebra - How would you solve this matrices using the Gauss-jordan elimination ...
math - Solve the following system of linear equations by graphing. (If the ...

For Further Reading

First Name:
School Subject:
Answer: