anonymous
  • anonymous
Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I need the order of the steps from beginning to end
pooja195
  • pooja195
Do you know how to solve it?
anonymous
  • 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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pooja195
  • pooja195
ok show me how you solve it then :) show me what order you would put the steps in.
anonymous
  • anonymous
well I'm pretty sure you have to combine the equations then distribute
pooja195
  • pooja195
hmm an easier approach would be elimination are you familiar with the method?
anonymous
  • anonymous
no
pooja195
  • pooja195
whats the opposite of 2?
anonymous
  • anonymous
-2
pooja195
  • pooja195
-2(x + y = -2) 2x – 3y = -9 Step 1: Distribute the -2 -2(x + y = -2)
anonymous
  • 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
  • pooja195
Is there a way you can paste them on to this post?
anonymous
  • anonymous
yes wait a moment
anonymous
  • 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
  • anonymous
there is a total of 5 steps
pooja195
  • pooja195
O-o huh? :/ i dont get this...
pooja195
  • pooja195
anonymous
  • anonymous
we have to figure out the order of these steps
jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
|dw:1437360016344:dw|
anonymous
  • anonymous
I don't know
jim_thompson5910
  • jim_thompson5910
do you agree that 3y plus -3y = 0y ?
anonymous
  • anonymous
yes
jim_thompson5910
  • 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
  • jim_thompson5910
new system of equations 3x + 3y = -6 2x – 3y = -9
anonymous
  • anonymous
so that would be the first step? multiply everything by 3?
jim_thompson5910
  • jim_thompson5910
yeah in eq 1
anonymous
  • anonymous
okay, what's next?
jim_thompson5910
  • jim_thompson5910
now you add the equations the 3y and -3y add to 0 and go away
jim_thompson5910
  • jim_thompson5910
that leaves just x to solve for
anonymous
  • anonymous
so how would I solve for x?
jim_thompson5910
  • jim_thompson5910
what do you get when you add the equations
anonymous
  • anonymous
5x
jim_thompson5910
  • jim_thompson5910
5x equal to what?
anonymous
  • anonymous
-15
jim_thompson5910
  • jim_thompson5910
5x = -15 ----> x = ???
anonymous
  • anonymous
-3
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
you plug that x value into any equation with x & y in it, then solve for y
anonymous
  • anonymous
so after adding the two equations what is the next step? I posted the options above
jim_thompson5910
  • jim_thompson5910
give it a shot and tell me what the order would be (based off what we've done so far)
anonymous
  • anonymous
The question doesn't ask for me to solve it. It just wants me to put the steps in order
jim_thompson5910
  • jim_thompson5910
you actually do have to solve it
anonymous
  • anonymous
based on what we've done I'd say the next step would be x=-3
anonymous
  • anonymous
and then substitute the value of x in the first equation to get y=1
jim_thompson5910
  • jim_thompson5910
yes so the solution is (-3,1)
anonymous
  • anonymous
thank you
jim_thompson5910
  • jim_thompson5910
np

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