what is 9 less than the product of a number and -4 is 35

Answer 1

If we let the number be represented by the variable x , then we can show the "product of a number and -4" as:

-4x

Then to show "9 less than " this product, we can write:

-4x - 9

Lastly, the words "is 35" means equal to 35 or = 35

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So we can write the final equation as:

-4x - 9 = 35

You can solve this equation using inverse operations:

First add 9 to both sides of the equation:

-4x -9 + 9 = 35 + 9

The result is -4x = 44

Divide both sides of the equation by -4:

-4x / (-4) = 44/(-4)

The result is x= -11

You can verify your solution:

The product of -11 and -4 is 44. Then 9 less than 44 is 44 - 9 or 35.