Explanation Procedure used: Solving system of linear equations by graphing: (1) Graph the first linear equation using two methods, either finding both intercepts in the form ( a , 0 ) and ( 0 , b ) thereby joining them or by finding the slope and one intercept. (2) The second linear equation is similarly plotted on the same graph using either of the above methods. (3) The point at which the lines of intersect is observed and recognized as solution of system of equations by regarding the point as an ordered pair ( x , y ) . If there are multiple such points where the lines intersect, the solution set will contain multiple points. If alternately no such point exists, the lines represented by the equations are parallel and there is no solution. Calculation: The given equations are, 4 x + y = − 3 (1) 5 x − 2 y = − 20 (2) The slope-intercept form is, y = m x + C , where m is the slope and the y -intercept is ( 0 , C ) . Step 1: Convert the equation (1) of x and y in the form of slope-intercept form. 4 x + y = − 3 y = − 3 − 4 x y = − 4 x − 3 Compare the equation y = − 4 x − 3 with the slope-intercept form y = m x + C

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter 4.1, Problem 6E

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To solve: The system of equation {4x+y=−35x−2y=−20 by graphing.

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Chapter 4.1, Problem 5E

Chapter 4.1, Problem 7E

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Chapter 4 Solutions

Elementary & Intermediate Algebra

Ch. 4.1 - A _____ is a grouping of two or more linear...Ch. 4.1 - A _____ of a system of equations consists of...Ch. 4.1 - Prob. 3E Ch. 4.1 - In Problems 3 and 4, determine whether each...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - In Problem 8, solve the system by graphing. 8....Ch. 4.1 - Prob. 9E Ch. 4.1 - If a system of linear equations in two variables...

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The system of equation { 4 x + y = − 3 5 x − 2 y = − 20 by graphing.

Solution Summary: The author explains how to solve the system of linear equations by graphing.

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To solve: The system of equation {4x+y=−35x−2y=−20 by graphing.

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Chapter 4 Solutions