Solve the system of equations by substitution. What is the solution for x?
2x + y = 1
4x + 2y = -2
A) x = 0
B) x = 2
C) There is no x value as there is no solution.
D) x can be any value as there is an infinite number of solutions.
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OpenStudy (anonymous):
@team_cuban
OpenStudy (anonymous):
I am sorry I forgot how to do system of equations by substitution unfortunately.
OpenStudy (anonymous):
do you know anyone who is good at these and could help me out?
OpenStudy (anonymous):
@pooja195 @welshfella
OpenStudy (anonymous):
These people may be able to help.
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pooja195 (pooja195):
Whats the opposite of 2?
pooja195 (pooja195):
any ideas?
OpenStudy (anonymous):
-2
pooja195 (pooja195):
good so we multiply
-2(2x + y = 1)
4x + 2y = -2
\[\huge~\rm~-2(2x + y = 1) \]
pooja195 (pooja195):
Distribute
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OpenStudy (anonymous):
I have no idea
pooja195 (pooja195):
-2 x 2 = ?
OpenStudy (anonymous):
-4
pooja195 (pooja195):
-2 x y = ?
OpenStudy (anonymous):
I don't know
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pooja195 (pooja195):
-2(2x + y = 1)
4x + 2y = -2
\[\huge~\rm~-2(2x + y = 1) \]
\(\huge\color{red}{-4x-2y=-2}\)
pooja195 (pooja195):
−4x−2y=−2
4x+2y=−2
Heres the fun part :D
-4+4=?
-2+2=?
-2+-2=?
OpenStudy (anonymous):
can you do that for me... im still a little lost..
pooja195 (pooja195):
-4+4=?
OpenStudy (anonymous):
0
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pooja195 (pooja195):
-2+2=?
OpenStudy (anonymous):
0
pooja195 (pooja195):
-2+-2?
OpenStudy (anonymous):
-4
pooja195 (pooja195):
When we have a number = a DIFFERENT number we have no solution its not possible to solve
0=-4
would make it so that there is no solution
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OpenStudy (anonymous):
so C?
pooja195 (pooja195):
ye
OpenStudy (anonymous):
See @pooja195 is amazing in Algebra. And I am great in geometry. GOOD WORK @pooja195