   Chapter 4.1, Problem 7E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 7-20, find all solutions of the given system of equations, and check your answer graphically.[HINT: See Examples 2-5.] x − y = 0 x + y = 4

To determine

To calculate: The solution to the system of equations xy=0 and x+y=4 and check the answer graphically.

Explanation

Given Information:

The provided system of equations is,

xy=0x+y=4

Formula used:

Elimination Method: This method is used to find the solutions of the system of linear equations by eliminating one of the two variables from the equations.

Multiply the equations with suitable non-zero numbers. Then combine the equations in such way so that one of the variables get eliminated and then evaluate the value of the other variable. Then substitute the value of this variable in either of the equations to get the value of the first variable.

Calculation:

Consider the equations,

xy=0 …… (1)

x+y=4 …… (2)

Add both the equations (1) and (2) to eliminate the variable y.

xy=0x+y=4_   2x=4

Then evaluate the value of the variable x.

2x=4x=2

Substitute x=2 in the equation xy=0 and evaluate the value of the variable y.

xy=02y=0y=2y=2

To find the solution of the system of equations, graphically, plot the graphs of the equations and find the intersection point.

To plot the graph of the equations, find the ordered pairs.

Consider the equation xy=0.

Substitute x=0 in the equation xy=0.

0y=0y=0y=0

Substitute x=1 in the equation xy=0.

1y=0y=1y=1

Substitute x=2 in the equation xy=0

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