Line A is represented by the equation given below:
x + y = 2
What is most likely the equation for line B, so that the set of equations has infinitely many solutions?
2x + 2y = 2
2x + 2y = 4
2x + y = 2
x + y = 4
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OpenStudy (anonymous):
I think this may be D
OpenStudy (compassionate):
Do you know what the system must equal for solutions: \[\pm(x \pm y) = \infty \]
OpenStudy (anonymous):
Why do you think so? @MilaHutcherson
OpenStudy (anonymous):
because there are a lot of numbers you can add together to get 4
OpenStudy (anonymous):
@Compassionate no
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OpenStudy (anonymous):
D is incorrect.
OpenStudy (compassionate):
When they both equal the same thing, x and y = z, then that means the lines overlap
OpenStudy (anonymous):
How do I find the answer for this?
OpenStudy (compassionate):
Take x + y = 2
and plug it in with trial and error. When x and y both equal the same thing, then you have your answer
OpenStudy (anonymous):
Find for x and y.
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
What did you get?
OpenStudy (anonymous):
hold on
OpenStudy (anonymous):
would it be b ?
OpenStudy (anonymous):
Yes, I believe so.
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