SOLUTION: Solve the system by the method of elimination and check any solutions algebraically {2x + 5y = 12 {5x + 8y = 15 (x, y) =

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Question 819387: Solve the system by the method of elimination and check any solutions algebraically
{2x + 5y = 12
{5x + 8y = 15

(x, y) =

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
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2x + 5y = 12
5x + 8y = 15
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copy and paste the above standard form linear equations in to this matrix-method solver:
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answer:
x= -2.333333 = -7/3
y= 3.333333 = 10/3
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now by elimination:
10x + 25y = 60
-10x - 16y = -30
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add:
9y = 30
y = 10/3 = 3.333333
2x + 5(10/3) = 12
2x = 12 - 5(10/3)
2x = 36/3 - 50/3
2x = -14/3
x = -14/(2*3)
x = -7/3 = -2.333333
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answer by elimination (same answer as by the matrix-method):
x= -2.333333 = -7/3
y= 3.333333 = 10/3
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