Question

Question on systems of equations.
(attached picture below)

Answer 1

@Directrix

Answer 2

@phi

Answer 3

I think you have to plot the two lines, and find the "corner points" of the enclosed region.
do you know how to do that ?

Answer 4

It's vaguely familiar but I have only just started to do these types of equations so I'm a little confused.

Answer 5

Here is a plot

Answer 6

Oh and then do you substitute in the points into the equations?

Answer 7

or something like that

Answer 8

in "linear programming" you plot the constraints , identify the corners
(the points A, B, and C in the figure , also (0,0) but that is obviously not a max)
use the (x,y) values of each point in the "cost equation" P= 2x+5y
pick the point that gives the biggest value for P

Answer 9

Okay so I'd use the points like (3,0) (2,3) and (0,4)? And then plug them into P=2x+5y?

Answer 10

yes (and technically (0,0) because that is a corner point)

Answer 11

Okay I'll do that now

Answer 12

The biggest one would be (0,4) because when put into the equation P=20. Right?

Answer 13

yes. looks good.

Answer 14

Okay thank you! Could I ask for help on one more question? I just need help on how to graph it, but I get the process after.

Answer 15

Please make it a new post.

Answer 16

Okay.