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 (Looseleaf) With Worksheet and MyMathLab
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education