SOLUTION: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answe

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answe      Log On


   

Question 179593: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
4x + 10y = 2
3x + 5y = 5
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4x + 10y = 2
3x + 5y = 5
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Multiply 2nd by -2 to get:
4x + 10y = 2
-6x -10y = -10
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Add to get:
-2x = -8
x = 4
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Substitute to solve for "y":
4*4 + 10y = 2
10y = -14
y = -7/5
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Cheers,
Stan H.