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

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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)   (Show Source): You can put this solution on YOUR website!
Start with the second equation.


Subtract 3x from both sides.


Go back to the first equation.


Plug in


Distribute.


Combine like terms on the left side.


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


Go back to the previously isolated equation.


Plug in


Multiply


Subtract.



So the solutions are and 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

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