Question

2x+5y=17 6x-5y=-19

Answer 1

What is to be done?

Answer 2

Which variable are you be able to eliminate first?

Answer 3

Since x= and y= , the solution is ?

Answer 4

You can eliminate either one if that's what we're supposed to be doing. Are solving the system? Classifying the system? Demonstrating a certain method?

Answer 5

elimination method

Answer 6

Okay, do that. What variable shall be eliminated first?

Answer 7

idk

Answer 8

Well, then it doesn't much matter, does it? Flip a coin, or something. Just pick one. x or y?

Answer 9

The y because -5y and +5y are the opposites and when you add them it equals to 0.

Answer 10

Oh, so if you add the two equations, the y magically disappears and you are left with:

8x = -2

Very good. Now what?

Answer 11

you divide -2 by 8x and it will be -2/8.

Answer 12

Or x = -1/4

Now, go find y.

Answer 13

how do I do that? I forgot how to.

Answer 14

No you didn't.

6x-5y=-19

Substitute the known value for x and solve for y.

Answer 15

i don't know what to do after you solve for y or x. I'm confused.

Answer 16

@agent0smith how do solve the elimination problem? I don't know how.

Answer 17

Since you already have x, plug it into one of the equations, then you can find y.

Answer 18

how do I do that?

Answer 19

6x-5y=-19

plug in x=-1/4

6(-1/4)-5y=-19

Answer 20

oh that would -6/24-5y=-19

Answer 21

6(-1/4) = -6/4, not -6/24

Answer 22

you don't multiply the denominator?

Answer 23

no, think of it like this \[\Large \frac{ 6 }{ 1 } \times \frac{ -1 }{ 4 }\]

Answer 24

oh ok.