\( 3 x+2 y=27 \) and \( y=\frac{28-2 x}{3} \)

The two equations you've provided can be solved simultaneously to find the values of \( x \) and \( y \). The first equation is a linear equation in standard form, while the second is already in slope-intercept form. Substituting the expression for \( y \) from the second equation into the first will simplify solving them. To visualize these equations better, plotting them on a graph can provide a clearer picture of their intersection point, which represents the solution to the system. The first line describes how 3 times \( x \) plus 2 times \( y \) equals 27, while the second line gives a direct relationship between \( x \) and \( y \). Happy graphing! This can make math feel like an art project, especially when you get to see the point where the lines cross, indicating the solution!