Question

Determine which three out of the six points shown below are a solution to the equation 2x + 3y = 16. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below. (-3,3), (5,2), (1,9), (2,4), (-5,0), (-1,6)

Answer 1

Given:

Graph is given.

(3.5,3) is one of the solution.

Proof:

`\begin{gathered} 2(3.5)+3(3)=16 \\ 7+9=16 \\ 16=16 \end{gathered}`

(8,0) is one of the point in the graph.

Proof:

`\begin{gathered} 2(8)+3(0)=16 \\ 16=16 \end{gathered}`