Is (3,-2) a solution to this system of equations? y=(1)/(3)x+1 y=2x+2 yes no

To determine if $(3,-2)$ is a solution to the system of equations, we need to substitute the values of $x$ and $y$ into both equations and check if they hold true.<br /><br />Let's start with the first equation:<br />$y = \frac{1}{3}x + 1$<br /><br />Substituting $x = 3$ and $y = -2$:<br />$-2 = \frac{1}{3}(3) + 1$<br />$-2 = 1 + 1$<br />$-2 = 2$<br /><br />This equation is not satisfied, so $(3,-2)$ is not a solution to the system of equations.<br /><br />Therefore, the answer is no.