Question

Translate the following sentence into an equation, and then, solve the equation. Negative three times a number is the same as four less than the product of negative seven and five.

Answer 1

The answer is 13.hope this helps

Answer 2

Steps:

So firstly, let's translate our sentence (let x = unknown number):

• "negative three times a number": -3x
• "is the same as": =
• "four less than the product of negative seven and five": (-7 × 5) - 4

Putting it together the algebraic equation is
`-3x=(-7*5)-4`

From here we can solve for x as such:

`-3x=(-7*5)-4\\-3x=-35-4\\-3x=-39\\x=13`

Answer:

In short:

• The equation is
  `-3x=(-7*5)-4`
• The unknown number is 13.