Question

Put the following linear inequalities into standard form:

2x+y<= 5

5x-(1/3)y <= 6

Answer 1

It would help me, and perhaps help y ou as well, if you'd look up "standard form" for a linear inequality. Personally, I'd rewrite the first inequality as y<=5-2x.

Answer 2

can you help me with the second one. y should be isolated

Answer 3

The second one is a bit harder because of that (1/3).
But all'snot lost! We could remove fractions from this problem by multiplying the entire inequality bye 3 (this cancels out the (1/3) ).
would you mind doing that now and typing the results here?

Answer 4

its a -1/3

Answer 5

negative

Answer 6

do i multiply by -3

Answer 7

I'd suggest y ou multiply by +3 now for reasons I'll explain later.

Answer 8

-1y<=16-15x

Answer 9

Where you have a 16, I have an 18. Mind checking your work?

Answer 10

that should be an 18 my mistake

Answer 11

y<=-18+15x

Answer 12

A minute or two back you gave me \[-y \le 16-15x \rightarrow -y \le 18-15x.\]

Answer 13

forget the 16 man

Answer 14

I see that you then tried changing that -y to +y.
This is tricky, however. If you either multiply an inequality by a (-) number, y ou must then reverse the direction of the inequality sign. Does that ring a bell?

Answer 15

nope cuz my professor stinks

Answer 16

Start with my very last inequality, above, and multiply everything by -1, and then change the direction of the inequality sign.

Answer 17

y>=-18+15x

Answer 18

Beautiful. Perfect. Excellent.
Take notes on our conversation, so that you'll have something to review and practice before your next exam.

Answer 19

ok thanks!

Answer 20

My great pleasure, Brent! "See" you again soon on OpenStudy.

Answer 21

why couldnt i have just multiplied by -3