SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -3x + 4y = -19.5 -3x + y = -10.5

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -3x + 4y = -19.5 -3x + y = -10.5       Log On


   



Question 574718: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x + 4y = -19.5
-3x + y = -10.5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Multiply the second equation by -1. Add the two equations, term by term, eliminating the term. Solve the resulting single variable equation in . Once you have a value for subsititue into either of the original equations and solve for .

If you get a trivial result when you add the two equations, something like , then you have an infinite number of solutions. If you get an absurdity, something like , then you have no solution.

John

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