Question

Solve the system of equations.
x + 3y = -1
2x + 2y = 6

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

Answer 1

Multiply the first equation by 2 so that x+3y=-1 becomes 2x+6y=-2. Next, you subtract them to get 0x+4y=-8, or 4y=-8. Divide both sides by 4 to get y=-2. Next, you simply substitute -2 for y in x+3y=-1 to get x.

Answer 2

mcfizzy are you in flvs

Answer 3

the answer is d

Answer 4

oh sorry i just came back thanks you guys and yeah i am in flvs

Answer 5

Hello DanJS

Answer 6

hi

Answer 7

Do you think you can help me with another problem not this one but another or you don't know this stuff very well ?

Answer 8

sure, post it here and ill help you through it

Answer 9

ok thanks hold on let me get it

Answer 10

Solve the following system of equations:
-2 + y = 1
-4x + y = -1

A.(3,1)
B.(-1,3)
C.(-1,-3)
D.(1,3)

Answer 11

Im ahead of you in the same class I can help you with anything that you need

Answer 12

If they give you multiple choice like that, you can simply test each solution without actually solving, if you want

Answer 13

for (x,y) = (3,1) , put into each equation and test if they are both true

Answer 14

what lesson are you in and is your teacher ms.lamb

Answer 15

No mine is Kelly Setta and thanks DanJS you really helped me thanks for your time

Answer 16

And my lesson is

Answer 17

Lesson 3: Solving Systems of Equations Algebraically

Answer 18

or if you would like to solve, there are a couple ways you can do that.

Substitution: solve one equation for a single variable, and put tha into the next equation so you can solve an equation with a single variable.

Combination: Multiply each equation through by a scalar number so that when you add the equations , one variable drops out, IE multiply the first equation by (-2) so that 4x +(-4x) = 0 and the x terms drop out

Answer 19

Or you can graph both of the lines, and the solution will be the intersection point (x,y)

Answer 20

are you savannah ray

Answer 21

My name ?

Answer 22

yes

Answer 23

No why ?

Answer 24

I thought it was because you can check who is in flvs currently so.........

Answer 25

oh do you have this lesson your grade book also ?

Answer 26

I think the graph option would be the easiest

Answer 27

What is FLVS?

Answer 28

Florida Virtual School online school

Answer 29

Is that like ahigh school , or online college or...?

Answer 30

High school

Answer 31

ah ic.. so you can do entire high school online these days?

Answer 32

Yeah LOL

Answer 33

dang, how do they know it is You that is actually doing the stuff , rather than someone on your behalf? haha

Answer 34

Do you ever have to actually show up in person to anything? like a standardized test?

Answer 35

They don't LOL but i do this a lot of times legit i just am stuck on this part

Answer 36

and no

Answer 37

wow. ok.
here.....

Answer 38

-2x + y = 1
-4x + y = -1

Multiply First equation through by (-2)

4x - 2y = -2
-4x + y = -1

Answer 39

Now add them together

4x + (-4x) + (-2y) + y = -2 + (-1)

0x - y = -3

y = +3

Answer 40

If y = 3, then from equation 1,

-2(x) + 3 = 1

-2x = -2

x = +1

Answer 41

The solution is
(x,y) = (1, 3)

Answer 42

i see now they explain it so complicating you just explain it so simple thank you so very much

Answer 43

You can test that by putting in x=1 and y=3 into both equations, and see if they both are true

Answer 44

your welcome

Answer 45

and the 4th method used to solve simultaneous equation is matrices.

The combination method above is actually elimination and sometimes called elimination by combination. you are choosing the factors necessary to eliminate one variable when you combine the equation then solve for the one variable.