Explanation Given: The system of equation 4 x + 3 y = 0 ; 2 x − y = 0 Solving a system of equation means finding the value of (x, y) which will make both the equation true. There are different types of solution for system of equation. Case 1: When we end up the value of x and y, the solution of system of equations is UNIQUE and it is the point where the graphs intersect. The solution set in interval notation is given by { ( x , y ) } . The solution is described as consistent and independent. Also for intersecting lines, the slope of the system of equations will be different. Case 2: When we end up with an IDENTITY equation, the solution of system of equations is INFINITE because the lines meet at numerous points. The solution is represented as { x ∈ ℜ , y ∈ ℜ } The solution is described as consistent and dependent. Also for intersecting lines, the slope and y-intercept of the system of equations will be same. Case 3: When we end up with a CONDRADICTING equation, the solution of the system of equations is NO SOLUTION because the lines will never meet. The solution is represented as { } or ∅ . The system of equation hence described as inconsistent. Also for parallel lines, have same slope but y-intercept of the equation will be different. If any one of the system of equation involve fractions, get rid of the fraction by multiplying the LCD throughout the equation. We need to select one equation and solve it for one of its variables. In the other equation, substitute for the variable just solved. Solve the new equation. Substitute the values found into any equation involving both variables and solve for the other variable. Calculation: Description Solving equations 4 x + 3 y = 0 ; 2 x − y = 0 Step 1: If any one of the system of equation involve fractions, get rid of the fraction by multiplying the LCD throughout the equation. And write the simplified equation as 1 s t and 2 n d equation. In this problem it is already in simplified form

7th Edition

ISBN: 9780134178110

Author: Blitzer

Publisher: YUZU

See similar textbooks

Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Videos

Question

Chapter 4.2, Problem 18ES

To determine

The solution of the given system of equation using substitution method, check if the system is no solution or an infinite number of solutions and express solution set in interval notation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.2, Problem 17ES

Chapter 4.2, Problem 19ES

Students have asked these similar questions

File Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014

The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.

a) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385

Chapter 4 Solutions

EBK INTRODUCTORY ALGEBRA FOR COLLEGE ST

Ch. 4.1 - Prob. 1CAVC Ch. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Prob. 3CAVC Ch. 4.1 - Prob. 4CAVC Ch. 4.1 - Prob. 1ES Ch. 4.1 - Prob. 2ES Ch. 4.1 - Prob. 3ES Ch. 4.1 - In Exercises 1-10, determine whether the given...Ch. 4.1 - Prob. 5ES Ch. 4.1 - Prob. 6ES

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The solution of the given system of equation using substitution method, check if the system is no solution or an infinite number of solutions and express solution set in interval notation.

Solution Summary: The author explains how to determine the solution of a given system of equation using substitution method.

Concept explainers

Videos

The solution of the given system of equation using substitution method, check if the system is no solution or an infinite number of solutions and express solution set in interval notation.

Want to see the full answer?

Chapter 4 Solutions