Lines A and B are represented by the equations given below:
Line A: x + y = 5
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
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OpenStudy (anonymous):
A. It is (5, 4).
B. It is (4, 5).
C. There is no solution.
D. There are infinitely many solutions.
OpenStudy (anonymous):
Can I please get an explanation on how to solve this as well?
OpenStudy (skullpatrol):
What do you think the answer is and why?
:-)
OpenStudy (anonymous):
I'm not quite sure, my teacher has never gone over this that is why I'm here, do you think you could give an example and how to solve it? If I at least know how to solve this one I can post what i think my answer is.
OpenStudy (skullpatrol):
Replace x + y in the first equation by x + y from the second equation and tell me what you get.
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OpenStudy (anonymous):
I think C, if not then D
OpenStudy (anonymous):
I don't see how it could be a or b seeing as It is two separate lines
OpenStudy (skullpatrol):
Does 5 equal 4?
OpenStudy (anonymous):
Nope
OpenStudy (skullpatrol):
x + y = 5 = x + y = 4
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OpenStudy (anonymous):
A then?
OpenStudy (skullpatrol):
Nope.
OpenStudy (anonymous):
I still stand with C since they are both separate lines with no actual numbers in their equation other than the solution.
OpenStudy (skullpatrol):
You are correct by standing with C.
OpenStudy (skullpatrol):
They are parallel lines.
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