1. Four times a number minus twenty-one is the same as six times

the number plus eleven. What is the number?

Answer: - 16

Step-by-step explanation:

Let the number be y

Four times a number minus twenty-one can be written as:

(4 * y) - 21 = 4y - 21

Six times the number plus eleven can be written as:

(6 * y) + 11 = 6y + 11

Combining both equations will give:

4y - 21 = 6y + 11

4y - 6y = 11 + 21

-2y = 32

y = 32/-2

y = - 16

The number is - 16