Which graph shows the solution to the system of linear inequalities?
y > 2/3x + 3
y ≤ 1/3x + 2
option b is the answer (pictured)

Observe the attached image.

Step-by-step explanation:

We have the following linear inequalities

Graph the lines corresponding to each inequality

→  

Cut with the y axis:

y = 3

Cut with the x axis:

→  

Cut with the y axis:

y = 2

Cut with the x axis:

Now graph the two lines

For

The region is made up of all the points that are above the line

For

The region is made up of all the points that are on the line and below

The final region will be the interception of both regions

Observe the attached image.

The system shown in the image you attached is:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)