Systems of Inequalities Homework Problem

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NLD

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This is blowing my mind - the problem reads:

Consider the system y=a and x=b where a and b are real numbers. Is this system dependent or independent? Is it consistent or inconsistent? Describe the system. If it is consistent, what is the solution?

My assumption is that we are supposed to treat y=a as (0,a) on a graph and x=b as (b,0) on a graph - I believe that would mean one verticle line and one horizontal line which would eventually intersect and, therefor the system would be consistent and independent - I don't know if this is correct or not and I have no idea (other than the way I just described it) how to "describe the system". Furthermore, I have no clue as to what "the solution" would be.

Any help would be greatly appreciated - I conceptualize much better with numbers than letters (and I'm not that great dealing with the numbers).

Thank You!
 
NLD said:
This is blowing my mind - the problem reads:

Consider the system y=a and x=b where a and b are real numbers. Is this system dependent or independent? Is it consistent or inconsistent? Describe the system. If it is consistent, what is the solution?

My assumption is that we are supposed to treat y=a as (0,a) on a graph and x=b as (b,0) on a graph - I believe that would mean one verticle line and one horizontal line which would eventually intersect and, therefor the system would be consistent and independent - I don't know if this is correct or not and I have no idea (other than the way I just described it) how to "describe the system". Furthermore, I have no clue as to what "the solution" would be.

Any help would be greatly appreciated - I conceptualize much better with numbers than letters (and I'm not that great dealing with the numbers).

Thank You!
Click to expand...

Your work is correct. The solution is the point of intersection (b,a).

But wording of your explanation needs some work.

You say

"...treat y=a as (0,a) on a graph ..."

However, y = a is a straight-line and (0,a) is a point ? those cannot be treated as each other.

Similar statement for x = a needs to be corrected and re-stated.
 
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