Question

`3x + 2y = 14`a= (0,2)b= (0,7)c= (2,0)d= (7,0)

Answer 1

To find the solution to the given equation, we just have to evaluate the equation with each given point and see which one satisfies the expression.

`3x+2y=14`

Let's evaluate (0,2).

`\begin{gathered} 3(0)+2(2)=14 \\ 0+4=14 \\ 4=14 \end{gathered}`

Given that this result is false, we can deduct that A is not the answer.

Let's evaluate (0,7).

`\begin{gathered} 3(0)+2(7)=14 \\ 0+14=14 \\ 14=14 \end{gathered}`

Given that this result is true, B is the right answer.

Let's see if there is another correct answer choice.

`\begin{gathered} 3(2)+2(0)=14 \\ 6+0=14 \\ 6=14(\text{False)} \end{gathered}`
`\begin{gathered} 3(7)+2(0)=14 \\ 21+0=14 \\ 21=14(\text{False)} \end{gathered}`Hence, the right answer is only B.