1. The problem is to solve a system of equations using grids (graphical method). 2. The grid method involves plotting each equation on a coordinate plane and finding the point(s) where the graphs intersect. 3. Suppose the system is: $$\begin{cases} y = 2x + 1 \\ y = -x + 4 \end{cases}$$ 4. Plot the first equation $y = 2x + 1$ by finding points: - When $x=0$, $y=2(0)+1=1$. - When $x=1$, $y=2(1)+1=3$. 5. Plot the second equation $y = -x + 4$ by finding points: - When $x=0$, $y=-0+4=4$. - When $x=1$, $y=-1+4=3$. 6. On the grid, the two lines intersect at the point where $y=3$ when $x=1$. 7. Therefore, the solution to the system is $x=1$, $y=3$. 8. This means the two equations are satisfied simultaneously at the point $(1,3)$.