SOLUTION: 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 consi

Algebra ->  Real-numbers -> SOLUTION: 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 consi      Log On


   



Question 355856: 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?

Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The system is consistent and independent since the solutions are y = a and x = b which gives us the ordered pair (b,a)


These equations draw lines that intersect at the point (b,a)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
.
*Note: these lines are perpendiular to one another:
.
y = a is perpendicular to the y-axis at point (0, a)
.
x = b is is perpendicular to the x-axis at point (b, 0)
.
The lines will cross at Pt(b,a) and Pt(b,a) will be the solution for the system.
The system is consistent as Pt(b,a) is consistent with both lines.
.
The example below would be y = 5 and x = 4. these lines having Pt(4,5) in common