Question

Linear equation (solve by substitution)
16x+19y=82
6x+y=190

This is the step I think of next...
-19(6x+y=190)

Answer 1

So you are trying to substitute the second equation into the first?

Answer 2

And I think you made a typo somewhere in your first equation

Answer 3

I am trying to make the y's match up so I can get rid of them (one has to be negative one has to be positive) This way they cancel than I can move on to find y.

Answer 4

Oh ok. Then yes, that would be your next step.

I got confused because this method is called elimination, not substitution

Answer 5

My paper says substitution. But from how it is I guess it can be both.
Ok well after that step I do this
16x+19y=82
+ -114x+-19y=-3610

Answer 6

Correct. And now add them up

Answer 7

-98x=-3610

Answer 8

You forgot to add the right hand side

So
-98x= -3528
And now solve for x

Answer 9

yeah i just noticed
and its
36

Answer 10

Oh my god -_____- I just realized I got it wrong every time because i forgot the other side of the =

Answer 11

Haha, it's ok. So what did you get for y after plugging 36 into x for one of the equations

Answer 12

for y im getting -34.6 but she said there are no decimals or fractions

Answer 13

I don't think you did it right. Try it again. You should get -26

Answer 14

So I have to make it negative by subtracting 576?

Answer 15

This is pluggin into second equation

6(36)+y=190
216+y=190
-216. -216
----------------
y=-26

Answer 16

Im doing the wrong problem -____- I cannot think today

Answer 17

Or if you were doing the first,

16(36)+19y=82
576+19y=82
-576. -576
-------------------
19y= -494
--- -----
19. 19

y=-26

Answer 18

Thank you so much! I feel so retarded.

Answer 19

No problem. Wait till you here this.

If you actually follow the directions, substitution would have been much faster.

Subtract 6x on both sides in your second equation so you have
y= 190-6x

Substitute this into the first equation so

16x + 19(190-6x)=82

And now solve for x
And then do the same thing as the previous problem to solve for y

Answer 20

-_____- I swear my teacher doesn't give us the right notes with titles and instructions...

Answer 21

Haha. Sounds like you have a great teacher

Answer 22

WONDERFUL!!!