Question

Your friend is thinking of two numbers.

They tell you that 2 times the first number is 13 more than the second number. They also say the sum of the two numbers is 62.
You determine one of your equations for the system is x + y = 62.
What is the second equation?
1)2x - 13y
2) 2x = y +13
3) 2x+y=13
4) x=y+13

Answer 1

2) 2x = y + 13

Explanation:

We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.

Start by breaking the sentence apart. "2 times the first number" gives us
`2x`. The "is" in the sentence means that
`2x` equals something, bringing us to
`2x =`. Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us
`y + 13\\`. Put it all together and it is
`2x = y + 13\\`.