Chapter 4: Q 309 (page 473)

In the following exercises, solve each system by graphing.
$\{\begin{cases} x - 3 y \geq 6 \\ y > \frac{1}{3} x + 1 \end{cases}$

Short Answer

Expert verified

The equations have no solution.

Step by step solution

Given information.

Given system of equation,

$\{\begin{cases} x - 3 y \geq 6 \\ y > \frac{1}{3} x + 1 \end{cases}$

Graph the system of equations

The system of equation $x - 3 y = 6$

has intercept $x = 6, y = - 2$ .The boundary is solid. Origin does not lies within as putting

$(0, 0) 0 \geq 6$

which holds false.

Calculating for second equation

For $y = \frac{1}{3} x + 1$ ,

the intercepts are $x = - 3, y = 1$ and testing the point $(0, 0)$ ,

we get

$0 > 1$ ,

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

Plotting the graph.

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In the following exercises, solve each system by graphing.
$\{\begin{cases} x - 3 y \geq 6 \\ y > \frac{1}{3} x + 1 \end{cases}$

Short Answer

Step by step solution

Given information.

Graph the system of equations

Calculating for second equation

Plotting the graph.

One App. One Place for Learning.

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In the following exercises, solve each system by graphing.x-3y≥6y>13x+1

Short Answer

Step by step solution

Given information.

Graph the system of equations

Calculating for second equation

Plotting the graph.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, solve each system by graphing.
$\{\begin{cases} x - 3 y \geq 6 \\ y > \frac{1}{3} x + 1 \end{cases}$