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Chapter 4: Q. 287 (page 472)

In the following exercises, solve each system by graphing.

y<-2x+2y鈮�-x-1

Short Answer

Expert verified

The darkest region represent the solution to the system of equations

Step by step solution

01

Given information

Given the system of equationsy<-2x+2y鈮�-x-1

02

Graph the system of equations 

The system of equations y=-2x+2has the intercept as 1,2. Testing the point (0,0), we get

0<-2(0)+20<2which is true

03

Checking for another equation

The equation y=-x-1has intercept as -1,1and the testing point (0,0)has

0鈮�0-10鈮�-1 which is true

04

Step 4

The graph for the system of equation is

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Most popular questions from this chapter

Solve the systems of equations by substitution.

x-2y=-52x-3y=-4

Without graphing, determine the number of solutions and then classify the system of equations.

y=-12x+5x+2y=10

Todecidewhetheritwouldbemoreconvenienttosolvethesystemofequationsbysubstitutionorelimination.(a)y=7x-53x-2y=16(b)12x-5y=-423x+7y=-15

In a system of linear equations, the two equations have the same intercepts. Describe the possible solutions to the system.

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=-2x-44x+2y=9(b)3x+2y=22x+y=1
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