## Precalculus (6th Edition) Blitzer

$(x,y)| 4x-8y=16$
Here, we have $4x-8y=16$, Rewrite as: $12x-24y=48$ and $3x-6y=12$, Rewrite as: $-12x+24y=-48$ Re-arrange the given two equations and then use the addition method to get $(12x-24y)+(-12x+24y)=-48+48$ or, $0=0$ Thus, the statement is True. Hence, we have $(x,y)| 4x-8y=16$ (infinite solutions)