Question

Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? A) 2 x + 2 = -50 B) 2 x = -50 C) 2 x + 1 = -50 D) x^2 + 1= -50

Answer 1

`\mathrm{A}`

Explanation:

Two consecutive even integers.

The first integer is even and can be as
`x`

The second integer is also even and can be as
`x+2`

Their sum is
`-50`

`x+x+2=-50`

`2x+2=-50`

Answer 2

`2x+2=-50`

Explanation:

`x+2=y\\x+y=-50\\x+x+2=-50\\2x+2=-50`

The equation that can be used to find out
`x` and
`y` is
`2x+2=-50`