SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Can someone plea

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Can someone plea      Log On


   

Question 373011: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-x + 6y = 54
3x + y = 9
Can someone please help me? I am completely lost and am working toward a huge deadline!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x+%2B+y+=+9 Start with the second equation.


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


-x+%2B+6y+=+54 Go back to the first equation.


-x+%2B+6%289-3x%29+=+54 Plug in y+=+9-3x


-x%2B54-18x=54 Distribute.


-19x%2B54=54 Combine like terms on the left side.


-19x=54-54 Subtract 54 from both sides.


-19x=0 Combine like terms on the right side.


x=%280%29%2F%28-19%29 Divide both sides by -19 to isolate x.


x=0 Reduce.


y+=+9-3x Go back to the previously isolated equation.


y+=+9-3%280%29 Plug in x=0


y+=+9-0 Multiply


y=9 Subtract.



So the solutions are x=0 and y=9 which form the ordered pair (0,9)


So this means that the system is consistent and independent.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim