## anonymous one year ago How many solution does this system have? 2x+y=3 6x=9-3y A. 1 B. 0 C. Infinite D. 2

1. SolomonZelman

$$\large\color{slate}{\displaystyle 2x+y=3 }$$ $$\large\color{slate}{\displaystyle \color{red}{(}2x+y=3\color{red}{)\times 3} }$$ $$\large\color{slate}{\displaystyle \color{red}{(}2x\color{red}{)\times 3}+\color{red}{(}y\color{red}{)\times 3}=\color{red}{(}3\color{red}{)\times 3} }$$ $$\large\color{slate}{\displaystyle 6x+3y=9 }$$ $$\large\color{slate}{\displaystyle 6x+3y\color{red}{-3y}=9 \color{red}{-3y}}$$ $$\large\color{slate}{\displaystyle 6x=9 -3y}$$

2. SolomonZelman

So your first equation is really the same as the second equation.

3. anonymous