Question

Hello I need help solving these system of equations. Step by step not just the answer. Thank you.

x + 3y = -1
2x + 2y = 6

A(-4, 1)
B(2, -1)
C(4, -1)
D(5, -2)

Answer 1

So lets say we wanted to eliminate x if we added both of the equations together, hwo would you do that?

Answer 2

I knew I needed to eliminate a variable, I'm just not sure how to set up the equations together. 2(3y -1) + 2y=-6 ??? @Jhannybean

Answer 3

Thank you for your time btw

Answer 4

First try multiplying -2 to the entire first equation.

-2(x + 3y = -1)
2x + 2y = 6
_____________________________

Now rewrite both equations after expanding the first one.

Answer 5

@Jhannybean I am having a difficult time

Answer 6

Okay let's start you off.

multiplying 2 to each term within the parenthesis, you get:

-2x - 6y = 2
2x + 2y = 6
________________

Did you see what i did?

Answer 7

Ok yes! I know there is more to understand

Answer 8

@Jhannybean

Answer 9

I want to know how I solve the other one

Answer 10

The other one?

Answer 11

Is still don't have a full understanding! @Jhannybean I have to solve more problems like this And I want to be able to do it on my own

Answer 12

Have you finished solving this one?

Answer 13

No, I thought you were explaining the steps on how to solve it. So you got -2x-2y= 6 by multiplying 2 to each term. Idk what to do next or even where you got the number 2 :(

Answer 14

OK after the step i wrote above, you want to ADD the two equations together.

-2x - 6y = 2
2x + 2y = 6
___________________
0x - 4y = 8

- 4y = 8

Divide both sides by -4 to isolate y, and you'll have your answer for the "y" portion

Answer 15

so -4 divided by -4?That equals 1

Answer 16

I am so confused @Jhannybean

Answer 17

yes thats correct,t hen what is 8/ -4 ?

Answer 18

-2

Answer 19

I don't know the answer or the steps to get the answer. :( @Jhannybean

Answer 20

Okay, you're almost there!

Answer 21

Now that we have y, we can use this value to find x.

Let's take the first equation for example. x + 3y = -1

If we use our value, y = -2, we can find x.

x + 3(-2) = -1
x = -1 +6
x = ?

Answer 22

5!!!!!!!!!!!!!!!!!! Holy cow the answer is D (5,-2)
Could you please help me with a similar question. I don't get how you got the negative two :) @Jhannybean

Answer 23

We got the -2 when we eliminated x to solve for y. Look at the above posts.