To solve: The given system by graphing.

Answer to Problem 1MCP
Solution:
The solution of the given system is
Explanation of Solution
Given:
Calculation:
In order to solve a pair of linear equations graphically, we follow the following steps:
Step 1: Firstly, we re-write equation (1) as
Step 2: We find the co-ordinates that satisfy the given equation by assigning the proper values to x .
In this way, we get three co-ordinates
Step 3:- We now plot these co-ordinates on a graph paper taking the values of x on x -axis and the values of y on y -axis and therefore we get a straight line by joining these three co-ordinates.
Step 4 :- We repeat the above steps for equation (2) and get another three co-ordinates that are (0,-4), (1,-2) and (2, 0). After plotting these points, we get another straight line.
The intersection of these two lines is a solution of the given linear equations.
Hence, the points of equation (1) are:
x | 0 | 2 | 4 |
y | 3 | 0 | -3 |
And, the points of equation (2) are:
x | 0 | 1 | 2 |
y | -4 | -2 | 0 |
Graph can be plotted as:
Conclusion:
After plotting these equations on a graph paper, we get an intersecting point i.e. (2, 0) and this is the solution of the given linear equations.
Want to see more full solutions like this?
Chapter 4 Solutions
EBK INTRODUCTORY AND INTERMEDIATE ALGEB
- Solve questions by Course Name (Ordinary Differential Equations II 2)arrow_forwardplease Solve questions by Course Name( Ordinary Differential Equations II 2)arrow_forwardInThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth. Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth from which the flash is visible? (Earth’s radius is approximately 4000 miles.)arrow_forward
- e). n! (n - 1)!arrow_forwardSuppose you flip a fair two-sided coin four times and record the result. a). List the sample space of this experiment. That is, list all possible outcomes that could occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are Heads (H) and Tails (T).arrow_forwarde). n! (n - 1)!arrow_forward
- Evaluate the following expression and show your work to support your calculations. a). 6! b). 4! 3!0! 7! c). 5!2! d). 5!2! e). n! (n - 1)!arrow_forwardAmy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?arrow_forwardConsider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph. The domain is all real numbers. The range is y> 0. The equation of the asymptote is y = 0 The y-intercept is 1arrow_forward
- 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





