Solve the following systems by graphing.
To calculate: The solution of the following equations by graphing method.
Answer to Problem 1RP
Solution:
The graphs of both the equations intersect at the point
Explanation of Solution
Given:
The set of equations is:
Calculation:
The graphs for the equations are made by constructing tables for the equations with values of x and y.
Consider the following equation:
When
Substitute 0 for x.
When
Substitute 2 for x.
When
Substitute
Construct a table for the various values of x and y for the equation,
x |
0 |
2 |
|
y |
4 |
3 |
5 |
Consider the another equation.
When
Substitute 0 for x.
When
Substitute 1 for x.
When
Substitute 4 for x.
Construct a table for the various values of x and y for the equation,
x |
0 |
1 |
4 |
y |
2 |
Graph:
Recall the table obtained for the equations:
x |
0 |
2 |
|
y |
4 |
3 |
5 |
And,
x |
0 |
1 |
4 |
y |
2 |
Plot the graph using the values of both the tables is:
Interpretation:
The graphs of both the equations intersect at the point
Want to see more full solutions like this?
Chapter 4 Solutions
Intermediate Algebra (8th Edition)
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill