Please help me, I got B, am I right ?
A system of equations is given below:
y = 4x − 3
2x + 7y = 41
Which of the following steps could be used to solve by substitution?
2(y = 4x − 3) + 7y = 41
4x − 3 = 2x + 7y
2x + 7(4x − 3) = 41
2(y = 4x − 3)
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OpenStudy (anonymous):
@Austin6i6
OpenStudy (anonymous):
which step do you think?
OpenStudy (anonymous):
it's not b
OpenStudy (anonymous):
so y=4x-3 in the first equation
OpenStudy (anonymous):
replace y in the second equation with (4x-3)
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OpenStudy (anonymous):
So it would be c ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Thank you. Can you help me with one more @10115658
OpenStudy (anonymous):
sure
OpenStudy (anonymous):
Solve the system of equations and choose the correct answer from the list of options.
d + e = 15
−d + e = −5
Label the ordered pair as (d, e).
(0, 0)
(10, −5)
(5, 10)
(10, 5)
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OpenStudy (anonymous):
first isolate e in the first equation
OpenStudy (anonymous):
can you do that?
OpenStudy (anonymous):
What do you mean by isolate
OpenStudy (anonymous):
get it by itself on one side of the equation
OpenStudy (anonymous):
e=...
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OpenStudy (anonymous):
is it 5 ?
OpenStudy (anonymous):
so what you do is subtract d from both sides.
e = 15 - d
OpenStudy (anonymous):
then you plug in (15-d) for e in the second equation
OpenStudy (anonymous):
is d 10 ?
OpenStudy (anonymous):
so now we have
-2d + 15 = -5
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OpenStudy (anonymous):
therefore d = 10
OpenStudy (anonymous):
now plug 10 in for d in the first equation
10 + e = 15
OpenStudy (anonymous):
therefore e=5
OpenStudy (anonymous):
So the answer would be (10,5 ) ?
OpenStudy (anonymous):
yes
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