Question

I NEED HELP< I ALMOST GOT IT I THINK>>
Which ordered pair is the solution to the system of equations?
2x - y = -5
x + 3y = 22



A.
(1, 7)

B.
(4, 9)

C.
(7, 19)

D.
(8, 21)

Answer 1

@iGreen

Answer 2

Did you get an answer?

Answer 3

I was leaning towards D, because you just pop in an rdered pair, right?

Answer 4

Yes, you could do that.

Answer 5

Okay, thanks

Answer 6

But we can re-order the second equation:

x + 3y = 22

Subtract 3y to both sides:

x = -3y + 22

Now we can plug in -3y + 22 for x in the first equation:

2x - y = -5

2(-3y + 22) - y = -5

Distribute 2 into the parenthesis:

-6y + 44 - y = -5

Subtract:

-7y + 44 = -5

Subtract 44 to both sides:

-7y = -49

Divide -7 to both sides, what's -49 / -7?

Answer 7

Oh, sorry, negative6 or 7, sorry, I just woke up lol

Answer 8

@iGreen

Answer 9

Um..-49 / -7 isn't gonna b a negative.

Answer 10

*be

Answer 11

Oh, yeah.. Its postitive 7 or 6..

Answer 12

Yes, it's positive 7.

Answer 13

Ok

Answer 14

So 7 is the y-value in the solution.

And there's only one option with a y-value of 7..and what's that?

Answer 15

A.

Answer 16

Yep, so that's our answer.

Answer 17

Thanks again!