Question

Two more than 16 times a number is the same as 21 less than the product of -7 and the number

Answer 1

-1

Explanation:

"a number" = x

-- "Two more than 16 times a number." | 16 times a number means "16x" | Two more than just means add 2.

(16x + 2)

-- "Is the same as" means equals.

(16x + 2) =

-- 21 less than the product of -7 and the number | The product of -7 and the number means "-7x" | 21 less than means subtract 21.

(16x + 2) = (-7x - 21)

-- solve for x.

(16x + 7x) = (-21 - 2)

-- combine like terms.

23x = -23

-- Divide.

x = -1

Answer 2

• -1

Explanation:

Let the number be x, and we have equation:

• 16x + 2 = -7x - 21
• 16x + 7x = - 21 - 2
• 23x = - 23
• x = -1

The number is -1