Use the Gauss-Jordan method to solve the following system of equations.  4x-3y=7 8x-6y=14 Select the correct choice below and answer if necessary.  A. Ther solution is ___. (type a simplified ordered pair) b. There are infinitely many solutions. The solution is (__,y) where y is any real number.  (Simplify your answer. Use integers or fractions for any numbers in the expression.)  C. There is no solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

Use the Gauss-Jordan method to solve the following system of equations. 

4x-3y=7

8x-6y=14

Select the correct choice below and answer if necessary. 

A. Ther solution is ___. (type a simplified ordered pair)

b. There are infinitely many solutions. The solution is (__,y) where y is any real number.  (Simplify your answer. Use integers or fractions for any numbers in the expression.) 

C. There is no solution. 

 

Expert Solution
Step 1

write the system of equations in the matrix form 

4-38-6714

Operate R114R1

1-348-67414

operate R2R2-8R1

1-3400740

The solution is of the form AX=0

1-3400740xy=00

therefore, 

x-34y=74x=74+34y

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,