Respuesta :

The point [tex](1,2)[/tex] is on the graph of the equation.

Explanation:

The equation is [tex]2x+3y=8[/tex]

We need to determine the point [tex](1,2)[/tex] is on the graph.

To determine the point [tex](1,2)[/tex] is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point [tex](1,2)[/tex] in the equation [tex]2x+3y=8[/tex], we get,

[tex]2(1)+3(2)=8[/tex]

Multiplying the terms within the bracket, we have,

[tex]2+6=8[/tex]

Adding the LHS, we have,

[tex]8=8[/tex]

Thus, both sides of the equation are equal.

Hence, the point [tex](1,2)[/tex] is on the graph of the equation [tex]2x+3y=8[/tex]