intermediate algebra
posted by TB on .
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
4x14y=42
help me please

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:031y = 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).