Question

Please help me out with this please

Answer 1

Answer:

Step-by-step explanation:

We have 2 equations represented by the lines on the graph

5x + 4y = 20

2x - 6y = 12

To plot the first equation on the graph, we a assume different points

4y = 20 - 5x

y = (20-5x)/4

y = 5 - 5x/4

If x =0, y = 5

If x = 2, y = 2.5

If x = 4, y = 0,

These points corresponds to the first line that cuts the positive y axis.

The first line that cuts the positive y axis is represented by the equation,

5x + 4y = 20

Since the left region of the line representing equation is shaded, the unshaded side represents

5x + 4y lesser than 20

To plot the second equation on the graph, we a assume different points

-6y = 12-2x

y = (2x-12)/6 = x/3 - 2

if x= 0, y = -2

If x = 3,y = 1

These points corresponds to the second line that cuts the negative y axis.

The second line that cuts the negative y axis is represented by the equation,

2x -6y = 12

Since the downward region of the line representing the equation is shaded, the unshaded side represents

2x -6y greater than 12