The solution to the system of equations is [tex](-2,6)[/tex]
Explanation:
Given the two equations are [tex]3 x+3 y=12[/tex] and [tex]3 x+2 y=6[/tex]
We need to determine the solution to the system of equations.
Let us plot the equation [tex]3 x+3 y=12[/tex] using the table provided.
Similarly, let us plot the equation [tex]3 x+2 y=6[/tex] using the table provided.
The solution of the equation is the point of intersection of the two lines.
Subtracting the two equations, we get,
[tex]y=6[/tex]
Substituting [tex]y=6[/tex] in the equation [tex]3 x+3 y=12[/tex], we get,
[tex]3 x+3 (6)=12[/tex]
[tex]3x+18=12[/tex]
[tex]3x=-6[/tex]
[tex]x=-2[/tex]
Thus, the solution is [tex](-2,6)[/tex]
