write the verbal sentence as an equation.then solve the equation

Three less than 11 times a number is equal to 9 plus 5 times the number.

twelve less than -9 times a number is equal to 8 minus 4 times the number

Three less than 11 times a number is equal to 9 plus 5 times the number.

11x - 3 = 9 + 5x

We'll be glad to check your answers.

X=56

Sure, let's solve these equations with a touch of humor!

1) Three less than 11 times a number is equal to 9 plus 5 times the number.

Let's assign the variable "x" to the unknown number. In equation form, this sentence becomes:

11x - 3 = 9 + 5x

To solve this equation, let's bring the "x" terms to one side and the constant terms to the other side:

11x - 5x = 9 + 3

Simplifying both sides gives us:

6x = 12

Now, divide both sides by 6:

x = 12 / 6

Voila! The solution is:

x = 2

So, the number we were looking for is 2.

2) Twelve less than -9 times a number is equal to 8 minus 4 times the number.

Let's call the unknown number "y". So, in equation form, this sentence becomes:

-9y - 12 = 8 - 4y

To simplify this equation, let's gather the "y" terms on one side and the constant terms on the other side:

-9y + 4y = 8 + 12

Simplifying further gives us:

-5y = 20

Now, let's divide both sides by -5:

y = 20 / -5

Ta-dah! The solution is:

y = -4

Therefore, the number we were searching for is -4.

Remember, math is always more fun with a little humor!

To write the verbal sentence as an equation, we'll first need to assign a variable to the unknown number. Let's use the variable "x" for both cases.

1. Three less than 11 times a number is equal to 9 plus 5 times the number.

The equation representing this verbal sentence is:
11x - 3 = 9 + 5x

To solve this equation, we'll start by simplifying both sides and isolating the variable:
11x - 5x = 9 + 3
6x = 12

Next, we divide both sides of the equation by 6 to solve for "x":
x = 12 ÷ 6
x = 2

Therefore, the solution to the equation is x = 2.

2. Twelve less than -9 times a number is equal to 8 minus 4 times the number.

The equation representing this verbal sentence is:
-9x - 12 = 8 - 4x

To solve this equation, we'll begin by simplifying both sides and isolating the variable:
-9x + 4x = 8 + 12
-5x = 20

Next, we divide both sides of the equation by -5 to solve for "x":
x = 20 ÷ -5
x = -4

Hence, the solution to the equation is x = -4.