will GIVE MEDAL IF HELP!!!!!!!!
For the graph shown, select the statement that best represents the given system of equations.
2y – x = 2 x – 2y = 8 A. inconsistent B. not enough information C. coincident D. consistent and independent
@shortycme
For this you need to know the definition of inconsistent and consistent systems. Consistent systems have at least one solution, inconsistent systems have no solutions. A solution is when two lines intersect. These lines in the question are parallel and therefore have no intersections. So the system would be considered....
well idk never heard of these wrods before
words
Do parallel lines ever cross?
no
And so, there is no solution to the system since they don't cross, right?
right!!!:D
A system is inconsistent is there is no solution!
so A.
? right?
Yep!
can you answer 4. more?
@shortycme
i can try
@amcarson
For the graph shown, select the statement that best represents the given system of equations. 4y + x = 2 8y + 2x = 4 A. coincident B. consistent and independent C. inconsistent D. not enough information
im not sure
anyone?
sorry
@mathmath333
4y + x = 2 8y + 2x = 4--->2(4y + x) = 4,--divide by 2-->(4y + x) = 2 \(\large\tt \begin{align} \color{black}{\text{these are called the coincidents lines}}\end{align}\)
http://www.mathnstuff.com/math/algebra/amental.htm This should summarize how to answer these questions
it didnt
@mathmath333 so its coincident?
yes
hello?
ok sorry lost internet and sisnt show anything
How many solutions does this system of equations have? A. none B. exactly one C. exactly two D. infinitely many
@mathmath333
these lines are parallel lines and parallel lines have \[\text{NO solutions}\]
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