To find : the solution to the given system of equation using elimination method
Answer to Problem 10E
There is NO SOLUTIONto the given system of equation
Explanation of Solution
Given information : The system of equation is
Concept Involved:
Solution of a system of equation is the point which makes both the equation TRUE.
Graphically the solution to the system of equation is the point where the two lines meet.
Method of Elimination: To use the method of elimination to solve a system of two linear equations in
1. Obtain coefficients for x (or y) that differ only in sign by multiplying allterms of one or both equations by suitably chosen constants.
2. Add the equations to eliminate one variable.
3. Solve the equation obtained in Step 2.
4. Back-substitute the value obtained in Step 3 into either of the originalequations and solve for the other variable.
5. Check that the solution satisfies each of the original equations.
Calculation:
Description | Steps |
Label the given system of equation | |
To get rid of y variable we need to multiply -2 with 1st equation | |
Add 1st and 3rd equation to eliminate the ‘y’ variable |
Conclusion:
Since we end up with an equation that is not true, there is no solution to the given system of equation, if drawn the two lines will never meet and will be parallel to each other. The result of system of equationmatches with the graph given.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning