What is meant by a solution to a system of linear equations?
The meaning of the solution to a system of linear equations.
Answer to Problem 1FCCE
Solution:
A solution to the system of linear equations is the point of intersection of line or plane corresponding to equations in the system or is the value of the variables takes as x, y, z.
Explanation of Solution
A system of linear equations represents line or plane and the point where they intersect is the solution of the system as that point satisfies all the equations in the system.
That is, the intersection is the value of the variables.
For example:
Consider a system of linear equations,
On solving the above equation as:
And,
Put
So,
This system represents two lines and they intersect at point
Therefore, the solution of the system of linear equation is the value of the variables.
Want to see more full solutions like this?
Chapter 2 Solutions
Mymathlab Plus Pearson Etext -- Standalone Access Card -- For Finite Mathematics & Its Applications With Integrated Review Format: Access Card Package
Additional Math Textbook Solutions
Pathways to Math Literacy (Loose Leaf)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
Excursions in Modern Mathematics (9th Edition)
Mathematical Ideas (13th Edition) - Standalone book