Question

What are Diego's two numbers? Explain or show how you know. Acoordinate plane is given here, in case helpful.

Answer 1

Diego says the sum of half of the first number and double the second number is 14.

Let the first number be x an and the second number be y.

According to Diego,

$\begin{gathered} \frac{x}{2}+2y=14 \\ x+4y=28 \end{gathered}$

So, Diego's two numbers must satisfy the equation

$x+4y=28$

There are many possibilities for Diego's two numbers. All the numbers on the line will be Diego's two numbers.

Two such number can be 0 and 7. It is seen from the graph.

Also 12 and 4 is another such pair.