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Mathematics 18 Online
OpenStudy (anonymous):

x-2y=2 x+3y=17

OpenStudy (aroub):

what do exactly need?

OpenStudy (anonymous):

Solve x and y. :D Ready to work on this together, lauran?

OpenStudy (aroub):

LOL! r u sure??

OpenStudy (anonymous):

if i were to use the substitution method to solve the following system im suppose to choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation

OpenStudy (anonymous):

Awesome. Let's do this!

OpenStudy (saifoo.khan):

lol.

OpenStudy (anonymous):

Equation 1 x-2y=2 Equation 2 x+3y=17

OpenStudy (anonymous):

Equation 1 x-2y=2 x = 2y + 2 Make sense so far?

OpenStudy (anonymous):

um well i fail when it comes to math so I might sound really stupid but i'm not

OpenStudy (vijay):

3 and 8

OpenStudy (saifoo.khan):

x = 8 y = 3

OpenStudy (anonymous):

Don't worry about it, Laura! We're going to figure this out together. :D I'll check during every step to see if you understand. It's more important that we learn it than to just get answers from a calculator.

OpenStudy (anonymous):

Did that first step make sense, Lauran?

OpenStudy (saifoo.khan):

@vijay, that isnt the ordered pair.

OpenStudy (anonymous):

yea.. now what do i do

OpenStudy (anonymous):

Ok, so when we got x = 2y + 2, this means "anytime you see an x in another equation, we can plug in "2y + 2" to replace x. Does this make sense?

OpenStudy (vijay):

hmm, it should be in other way

OpenStudy (anonymous):

can u give me the anwser lol there is no way i am gonna figure this out

OpenStudy (anonymous):

LauraN: They gave you the answer, but you'll fail the test if we don't work on this together :/

OpenStudy (saifoo.khan):

hmm.

OpenStudy (anonymous):

wait is the anwser x+3(2y+2)=17

OpenStudy (anonymous):

Just tell me: does it make sense that when I said, "Ok, so when we got x = 2y + 2, this means "anytime you see an x in another equation, we can plug in "2y + 2" to replace x. Does this make sense?"

OpenStudy (anonymous):

No, wait, I said yes too soon. Lol.

OpenStudy (anonymous):

x+3y=17 is equation 2. Remember when we said x = 2y + 2?

OpenStudy (anonymous):

multiply the first equation with 3 and second equation with 2 and add both of the equations. you will get, 5x =40 x=8 now substitute x in one of the equation 8-2y =2 -2y=2-8 y=-6/-2 y-3

OpenStudy (anonymous):

is x+3(-2y+2)=17

OpenStudy (anonymous):

(2y + 2) + 3y = 17

OpenStudy (anonymous):

*y=3

OpenStudy (anonymous):

The (2y + 2) equals x according to the first steps that we did. So, we literally just erase x in equation two and replace it with (2y + 2)

OpenStudy (anonymous):

So, just a rehash of what we did: equation 1: x-2y=2 equation 2: x+3y=17 Equation 1 was changed to x = 2y + 2 by moving the -2y to the right. Then, because we know x = (2y + 2) from the step above, we can change equation 2 from x+3y=17 to (2y + 2) + 3y = 17

OpenStudy (anonymous):

Did this make sense, Laura?

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