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Chapter 4: Q 314 (page 473)

In the following exercises, solve each system by graphing.

y鈮�-14x-2x+4y鈮�6

Short Answer

Expert verified

The solution of the equation is dark shaded region.

Step by step solution

01

Given information.    

Given system of equation,

y鈮�-14x-2x+4y鈮�6

02

Graph the system of equations.

The system of equation y=-14x-2

has intercept x=-8,y=-2. The boundary is solid. Origin does not lies within as putting

0鈮�-2

which holds false.

03

Calculating for second equation.

For x+4y=6,

the intercepts are x=6,y=1.5testing the point (0,0),

we get

0鈮�6,

which is true hence, the origin is contained in it.

04

Plotting the graph. 

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