The equations are given to be:
[tex]\begin{gathered} y=2x^2-12x+20 \\ y=2 \end{gathered}[/tex]
The graph of the first equation can be drawn by getting a table of values taking values of x from 0 to 5:
[tex]\begin{gathered} At\text{ }x=0 \\ y=20 \\ At\text{ }x=1 \\ y=10 \end{gathered}[/tex]
Following the same method, we have the table of values to be:
Drawing the graph with the points and the graph of y = 2, we have:
The solution to the system of equations is where the two graphs intersect. This is at:
[tex]x=3[/tex]
Therefore, the solution will be:
[tex](x,y)=(3,2)[/tex]
