SOLUTION: If possible solve equation. Use any method. If no unique solution state reason why 3x - 11y =9 -9x + 33y = 18

Algebra.Com
Question 639487: If possible solve equation. Use any method. If no unique solution state reason why
3x - 11y =9
-9x + 33y = 18

Found 2 solutions by MathLover1, lynnlo:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:










In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


Start with the given equation



Subtract from both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce



Now lets graph (note: if you need help with graphing, check out this solver)



Graph of




So let's solve for y on the second equation


Start with the given equation



Add to both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce





Now lets add the graph of to our first plot to get:


Graph of (red) and (green)


From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
this problem has no solution it is dependent
RELATED QUESTIONS

If possible solve each system of equations. Use any method. If there is not a unique... (answered by edjones)
if possible, solve each system of equations. use any method. if there is not a unique... (answered by jim_thompson5910)
Solve using any method. 3x – 11y = 9 -9x + 33y = 18 (answered by Edwin McCravy)
If possible solve the system of equations. Use any method. If there is not a unique... (answered by josgarithmetic)
If possible solve the system of equations. Use any method. If there is not a unique... (answered by lenny460)
Solve the system of equations using the addition (elimination) method. If the answer is... (answered by solver91311)
Solve the system of equations using the addition (elimination) method. If the answer is... (answered by checkley77)
Solve the system of equations using the addution (elimination) method. If the answer is... (answered by jim_thompson5910)
Is there a solution for this problem and if so why? 3x - 11y = 9, -9x + 33y =... (answered by richwmiller)