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Chapter 4: Q 311 (page 473)

In the following exercises, solve each system by graphing.

-3x+6y鈮�124y鈮�2x-4

Short Answer

Expert verified

The equations have no solution.

Step by step solution

01

Given information.   

Given system of equation,

-3x+6y鈮�124y鈮�2x-4

02

Graph the system of equations  

The system of equation -3x+6y=12

has intercept x=-4,y=2. The boundary is solid. Origin does not lies within as putting

(0,0)0鈮�12

which holds false.

03

Calculating for second equation  

For 4y=2x-4,

the intercepts are x=2,y=-1and testing the point ,

we get

0鈮�-4,

which is false hence, the origin is not contained in it.

04

Plotting the graph.  

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