Help? Solve the following system of equations.
x + y = 12
x – y = 6
A.(3, 9)
B.no solution
C.infinite number of solutions
D.(9, 3)
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pooja195 (pooja195):
So we have 2 equations
x+y=12 <---equation 1
x-y=6 <----equation 2
I know the substitution method well enough to teach it to you so lets stick with that :))
Lets start by isolating a variable equation 1 has a variable alone lets isolate it
x+y=12 <----equation 1
Subtract y from both sides
x=-y+12
Now we have
x=-y+12 <---equation 1
x-y=6<---equation 2
Now we know the value of x let's plug equation #1 into equation #2
\[\huge~\rm~ -y+12-y=6\]Solve for y tell me what you get :)
OpenStudy (anonymous):
Is it C?
pooja195 (pooja195):
No
OpenStudy (anonymous):
I need help :/ I'm in 8th grade and math is hard.
pooja195 (pooja195):
Im a person who helps people who are willing to learn i guess we are both stuck
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OpenStudy (anonymous):
Well can you give me a hint?
pooja195 (pooja195):
−y+12−y=6
Combine like terms
-y-y=?
basically saying
-1-1=?
OpenStudy (anonymous):
No solution??
pooja195 (pooja195):
No -.-
OpenStudy (anonymous):
Don't yell at me!
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pooja195 (pooja195):
o.O i yelled at you?
OpenStudy (anonymous):
No he did. Whoever that person is
pooja195 (pooja195):
Ok -1-1=?
OpenStudy (anonymous):
-2?
OpenStudy (alexandervonhumboldt2):
yes -1-1=-2
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OpenStudy (anonymous):
Okay!
pooja195 (pooja195):
Good
−y+12−y=6
-2y+12=6
now we subtract 12 from both sides
6-12=?
OpenStudy (anonymous):
-6
OpenStudy (alexandervonhumboldt2):
yes
pooja195 (pooja195):
Good
-2y=-6
divide both sides by -2
-2/-2=1
so just y
-6/-2=?
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OpenStudy (anonymous):
-8
pooja195 (pooja195):
We're dividing not adding
pooja195 (pooja195):
-6 divided by -2 =?
OpenStudy (anonymous):
3
pooja195 (pooja195):
Good so y=3
only one of your options has y as 3 what is the answer?
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