Question

HELP ASAP; PLEASE

The greater of two consecutive integers is nine more than twice the lesser integer. What are the two integers? (Enter your answers as a comma-separated list.)

Answer 1

-7 and -8

Explanation:

Write equations for the information.

Let's let:

X = lower integer

Y = higher integer

Since they're consecutive integers,

Y = X +1

We also know that,

Y = 9 + 2X

Now we can sub in the information from the first equation into the second one:

X + 1 = 9 + 2X

And solve for X:

1 - 9 = 2X - X

-8 = X

Now, solve for Y

Y = -8 +1

Y = -7