SOLUTION: solve the system of equation by graphing. 9x-6y=42 6y-9x=-42 is it consistent or inconsistent dependant or independant i'm totally lost with this one, thinking there is

Question 203525: solve the system of equation by graphing.
9x-6y=42
6y-9x=-42

is it consistent or inconsistent
dependant or independant
i'm totally lost with this one, thinking there is no solution, but is that correct?
thanks
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let us consider the first equation: 9x - 6y = 42.
Multiplying both sides of this equation by (-1) we have
(-1)*(9x - 6y) = (-1)*42
(-1)*9x - (-1)*6y = -42
-9x + 6y = -42
i.e. 6y - 9x = -42
This is nothing but your second equation so the two equations are not inconsistent, but are the same equation instead and hence dependent.
If you try to draw the graphs, you will get ONLY one straight line as shown below.

RELATED QUESTIONS
Solve the systems of equations by graphing. Then classify the system as consistent or... (answered by Fombitz)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by jim_thompson5910)

Solve the systems of equations by graphing. Then classify the systems as consistant or... (answered by jim_thompson5910)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by Alan3354)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by Gogonati)

solve the system of equation by graphing. then classify the system as consistent aor... (answered by nabla)

solve the system of equations by graphing, then classify as consistent, or inconsistent... (answered by MathLover1)

solve the system of equations by graphing.then classify the system as consistent or... (answered by Fombitz)

I have one more question. Solve the system of equations by graphing. Then classify the... (answered by jim_thompson5910)