Seven more than the product of a number and 5 equals 2. Use the variable c for the unknown number.

Equation: 5c + 7 = 2

Solution: The number is - 1.

Step-by-step explanation:

The unknown number is c.

"the product of a number and 5" is 5c

"Seven more than the product of a number and 5" is 5c + 7

"Seven more than the product of a number and 5 equals 2" is 5c + 7 = 2

The equation is

5c + 7 = 2

To solve, we first subtract 5 from both sides.

5c + 7 - 7 = 2 - 7

5c = - 5

Now divide both sides by 5.

5c/5 = - 5/5

c = - 1

Answer: The number is - 1.