List all four corner points, as ordered pairs of the form ( x, y), for the following system of inequalities: 5 x − y <= 20 − x + 3 y <= 24 x >= 0 y <= 0

iohanetc

iohanetc

Answered question

2021-01-28

List all four corner points, as ordered pairs of the form ( x, y), for the following system of inequalities:
5xy20
x+3y24
x0
y0

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-01-29Added 86 answers

Step 1
Solving 5xy20andx+3y24
Multiplying x+3y24 by 5
5x+15y120
Adding 5x+15y120and5xy20
5x5xy+15y20+120
14y140
y10
Substituting y=105xy20
5x1020
5x20+10
5x30
x6
So, the point of intersection of 5xy20andx+3y24 is (6,10)
Step 2
Substituting the x = 0 for y intercept of x+3y24
0+3y24
y8
So, the point (0,8) lie on the x+3y24
Substituting the y = 0 for x intercept of 5xy20
5x020
5x20
x4
So, the point (4 ,0) line on the 5xy20
The point of intersection of x0andy0 is (0 , 0)
Now, Plotting the corner points

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