Question

The following system of equations has infinitely many solutions. Describe the solution set using parametric equations. x + 3y − z = -4 3x + 9y − 3z = -12 -x − 3y + z = 4

Name: the following system of equations has infinitely many solutions describe the solution set using parametric equations x 3y z 4 3x 9y 3z 12 x 3y z 4 81887
Uploaded: 2021-07-25T20:18:04-08:00
Duration: 2 min 41 s
Channel: Destin Priester
Description: the following system of equations has infinitely many solutions describe the solution set using parametric equations x 3y z 4 3x 9y 3z 12 x 3y z 4 81887

          The following system of equations has infinitely many solutions.
Describe the solution set using parametric equations.
x + 3y − z = -4
3x + 9y − 3z = -12
-x − 3y + z = 4

Added by Katrina F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Destin Priester

07/25/2021

Step 1

To do this, we can look for a relationship between the equations that indicates they are dependent (i.e., one equation can be derived from the others). Comparing the coefficients of the first and second equations: 1x + 3y - z = -4 3x + 9y - 3z = -12 We can see Show more…

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The following system of equations has infinitely many solutions. Describe the solution set using parametric equations. x + 3y − z = -4 3x + 9y − 3z = -12 -x − 3y + z = 4