Solve, using the substitution method.
4x + 2y = 11
x – 2 = – 2y
A. http://static.k12.com/bank_packages/files/media/mathml_b6098f85676b94fd289e926a43c7146862b53aeb_1.gif
B. http://static.k12.com/bank_packages/files/media/mathml_4dda929f2e7f6e0d32b7ed74a4b7db036270160f_1.gif
C. http://static.k12.com/bank_packages/files/media/mathml_dd2fea1a7ee663bab5f73749df72867ff1675ca9_1.gif
D. http://static.k12.com/bank_packages/files/media/mathml_66052864094b9928e45357c5ec899b46be1b736d_1.gif
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hartnn (hartnn):
x-2 =-2y
add 2 on both sides
what u get?
OpenStudy (anonymous):
4
OpenStudy (anonymous):
btw love your photo
hartnn (hartnn):
thanks :)
and
x-2 = -2y
adding 2 on both sides gives
\(x = 2-2y\)
hartnn (hartnn):
plug this 'x' in the first equation
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OpenStudy (anonymous):
sorry i'm confused honestly i am
hartnn (hartnn):
you got this, right ?
\(x= 2-2y\)
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
so what do you mean plug in 'x' to this equation
hartnn (hartnn):
i plug that in
4x+2y =11
so
\(4(2-2y) +2y =11\)
it just means replace x by 2-2y
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OpenStudy (anonymous):
so i would have.......2x-2y?
hartnn (hartnn):
whats
4(2-2y) = ... ?
OpenStudy (anonymous):
8-8y
hartnn (hartnn):
yes
8-8y +2y =11
can you solve this for y ?
OpenStudy (anonymous):
you have to add 2 by 8?
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hartnn (hartnn):
combine like terms
hartnn (hartnn):
-8y +2y = (-8+2)y = ...
hartnn (hartnn):
11 -8 = ..
OpenStudy (anonymous):
ok give second plz
hartnn (hartnn):
give u what ?
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OpenStudy (anonymous):
ok... -8y+2y=-6y
11-8=3
hartnn (hartnn):
yesh
-6y = 3
so y = ... ?
OpenStudy (anonymous):
-2
OpenStudy (anonymous):
so B
hartnn (hartnn):
no
y = -3/6 = -1/2
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