- anonymous

Arrange the steps to solve this system of linear equations in the correct sequence.
x + y = -2
2x – 3y = -9

- jamiebookeater

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- anonymous

I need the order of the steps from beginning to end

- pooja195

Do you know how to solve it?

- anonymous

I have a general idea of how to solve it I'm just not completely sure. I mostly just end up putting the steps in the wrong order

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## More answers

- pooja195

ok show me how you solve it then :) show me what order you would put the steps in.

- anonymous

well I'm pretty sure you have to combine the equations then distribute

- pooja195

hmm an easier approach would be elimination are you familiar with the method?

- anonymous

no

- pooja195

whats the opposite of 2?

- anonymous

-2

- pooja195

-2(x + y = -2)
2x – 3y = -9
Step 1: Distribute the -2
-2(x + y = -2)

- anonymous

The question gives me a list of steps, and I'm supposed to put them in the correct order, so what I really need is someone to help me figure out the sequence of steps

- pooja195

Is there a way you can paste them on to this post?

- anonymous

yes wait a moment

- anonymous

a. subtract 3x+3y=-6 (obtained in step one) from 2x-3y=-9 (given) to solve for x
b. substitute the value of x in the first equation (x+y=-2) to get y=1
c. The solution for the systems of equations is (-3,1)
d. x=-15
e. The solution for the systems of equations is (-15,13)
f. add 3x+3y=-6(obtained in step one) to 2x-3y=-9(given), and solve for x
g. x=-3
h. substitute the value of x in the first equation (x+y=-2) to get y=13
i. multiply the first equation by 3: 3(x+y)=3(-2) 3X+3Y=-6

- anonymous

there is a total of 5 steps

- pooja195

O-o huh? :/ i dont get this...

- pooja195

- anonymous

we have to figure out the order of these steps

- jim_thompson5910

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- jim_thompson5910

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- anonymous

I don't know

- jim_thompson5910

do you agree that 3y plus -3y = 0y ?

- anonymous

yes

- jim_thompson5910

so what we have to do is multiply everything in equation 1 by 3 to go from x + y = -2
to 3x + 3y = -6

- jim_thompson5910

new system of equations
3x + 3y = -6
2x – 3y = -9

- anonymous

so that would be the first step? multiply everything by 3?

- jim_thompson5910

yeah in eq 1

- anonymous

okay, what's next?

- jim_thompson5910

now you add the equations
the 3y and -3y add to 0 and go away

- jim_thompson5910

that leaves just x to solve for

- anonymous

so how would I solve for x?

- jim_thompson5910

what do you get when you add the equations

- anonymous

5x

- jim_thompson5910

5x equal to what?

- anonymous

-15

- jim_thompson5910

5x = -15 ----> x = ???

- anonymous

-3

- jim_thompson5910

yes

- jim_thompson5910

you plug that x value into any equation with x & y in it, then solve for y

- anonymous

so after adding the two equations what is the next step? I posted the options above

- jim_thompson5910

give it a shot and tell me what the order would be (based off what we've done so far)

- anonymous

The question doesn't ask for me to solve it. It just wants me to put the steps in order

- jim_thompson5910

you actually do have to solve it

- anonymous

based on what we've done I'd say the next step would be x=-3

- anonymous

and then substitute the value of x in the first equation to get y=1

- jim_thompson5910

yes so the solution is (-3,1)

- anonymous

thank you

- jim_thompson5910

np

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