Posted by **TB** on Wednesday, August 22, 2012 at 12:03pm.

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

help me please

- intermediate algebra -
**Henry**, Friday, August 24, 2012 at 3:28pm
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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