High School

Nineteen less than eight times a number is equal to eleven more than six times the number.

Express this statement as an equation and solve for the number.

[tex] 8x - 19 = 6x + 11 [/tex]

Answer :

The value of the number which is represented by the equation as given in the statement is equal to 15.

Let's translate the given statement into an equation:

Let the number be represented by "x."

The statement "nineteen less than eight times a number" can be written as 8x - 19.

The statement "eleven more than six times the number" can be written as 6x + 11.

Now, we can set up the equation:

8x - 19 = 6x + 11

To solve for "x," first, we will bring all the "x" terms to one side of the equation and the constant terms to the other side:

8x - 6x = 11 + 19

Simplifying the equation:

2x = 30

Now, to solve for "x," divide both sides of the equation by 2:

x = 30 / 2

x = 15

Therefore, the value of the number represented by the equation is 15.

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The answer is 8x-19=6x+11. I think because it says a number then the number. If I'm wrong then it could also be 8x-19=6n+11. I'm not quite sure so might not want to listen to me on this answer.