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.