Arrange the steps to solve this system of linear equations in the correct sequence.

x + y = -2

2x – 3y = -9

Question

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

anonymous · Answer

I need the order of the steps from beginning to end

pooja195 · Answer

Do you know how to solve it?

anonymous · Answer

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

pooja195 · Answer

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

anonymous · Answer

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

pooja195 · Answer

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

anonymous · Answer

no

pooja195 · Answer

whats the opposite of 2?

anonymous · Answer

-2

pooja195 · Answer

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

anonymous · Answer

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 · Answer

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

anonymous · Answer

yes wait a moment

anonymous · Answer

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 · Answer

there is a total of 5 steps

pooja195 · Answer

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

pooja195 · Answer

@jim_thompson5910

anonymous · Answer

we have to figure out the order of these steps

jim_thompson5910 · Answer

|dw:1437360006983:dw|

jim_thompson5910 · Answer

|dw:1437360016344:dw|

anonymous · Answer

I don't know

jim_thompson5910 · Answer

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

anonymous · Answer

yes

jim_thompson5910 · Answer

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 · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

yeah in eq 1

anonymous · Answer

okay, what's next?

jim_thompson5910 · Answer

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

jim_thompson5910 · Answer

that leaves just x to solve for

anonymous · Answer

so how would I solve for x?

jim_thompson5910 · Answer

what do you get when you add the equations

anonymous · Answer

5x

jim_thompson5910 · Answer

5x equal to what?

anonymous · Answer

-15

jim_thompson5910 · Answer

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

anonymous · Answer

-3

jim_thompson5910 · Answer

yes

jim_thompson5910 · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

you actually do have to solve it

anonymous · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

yes so the solution is (-3,1)

anonymous · Answer

thank you

jim_thompson5910 · Answer

np