# intermediate algebra

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solve using the elimination method. show your work. if the system has no solution or an infinte number of solutions, state this.
14x+18y=-54
-4x-14y=42

• intermediate algebra -

Eq1: 14x + 18y = -54.
Eq2: -4x - 14y = 42.
Divide both sides of each Eq by 2:
Eq1: 7x + 9y = --27.
Eq2: -2x - 7y = 21.
Multiply Eq1 by 2 and Eq2 by 7.
14x + 18y = -54
-14x - 49y = 147
Sum:0-31y = 93
Y = -3.
In Eq1, substitute -3 for Y:
14x + 18(-3) = -54
14x - -54 = -54
14x = -54 + 54 = 0
X = 0.
Solution set: (x,y) = (0,-3).

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