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Chapter 5: Q. 5.110 (page 667)

Solve the system by graphing.

x+3y>8y<-13x-2

Short Answer

Expert verified

As there is no common region of the two solutions sets, the system has no solution.

Step by step solution

01

Step 1. Given information

The given system isx+3y>8y<-13x-2.

02

Step 2. Plot the first inequality 

  • The intercepts of x+3y=8are (8,0),83,0.
  • Join the points to plot a dotted line.
  • The point (0,0)does not satisfy the inequality, so shade the region that excludes the origin.

03

Step 3. Plot the second inequality 

  • he intercepts of y=-13x-2are (0,-2),(-6,0).
  • Join the points to plot a dotted line.
  • The point (0,0)does not satisfy the inequality, so shade the region that excludes the origin.

  • As there is no common region of the two solutions sets, the system has no solution.

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