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

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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) About Me  (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:


3x-11y=9

-9x%2B33y=18





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


3x-11y=9 Start with the given equation



-11y=9-3x Subtract 3+x from both sides



-11y=-3x%2B9 Rearrange the equation



y=%28-3x%2B9%29%2F%28-11%29 Divide both sides by -11



y=%28-3%2F-11%29x%2B%289%29%2F%28-11%29 Break up the fraction



y=%283%2F11%29x-9%2F11 Reduce



Now lets graph y=%283%2F11%29x-9%2F11 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F11%29x-9%2F11%29+ Graph of y=%283%2F11%29x-9%2F11




So let's solve for y on the second equation


-9x%2B33y=18 Start with the given equation



33y=18%2B9x Add 9+x to both sides



33y=%2B9x%2B18 Rearrange the equation



y=%28%2B9x%2B18%29%2F%2833%29 Divide both sides by 33



y=%28%2B9%2F33%29x%2B%2818%29%2F%2833%29 Break up the fraction



y=%283%2F11%29x%2B6%2F11 Reduce





Now lets add the graph of y=%283%2F11%29x%2B6%2F11 to our first plot to get:


Graph of y=%283%2F11%29x-9%2F11(red) and y=%283%2F11%29x%2B6%2F11(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) About Me  (Show Source):
You can put this solution on YOUR website!
this problem has no solution it is dependent