High School

Translate this sentence into an equation:

Fifteen more than \( z \) times six is \( y \) times two minus eleven.

Answer :

Final answer:

The sentence 'Fifteen more than z times six is y times two minus eleven' translates into the equation 6z + 15 = 2y - 11, where 'is' represents the equal sign '=' in the equation.

Explanation:

To translate the sentence "Fifteen more than z times six is y times two minus eleven" into an equation, we have to understand the language used and convert it into mathematical expressions. Here's how it can be done step-by-step:

Fifteen more than z times six: This translates to 6z + 15.

Is: This translates to '=' in an equation.

Y times two minus eleven: This translates to 2y - 11.

Putting it all together, we get the equation: 6z + 15 = 2y - 11. This is a linear equation with two variables z and y.

Final answer:

The sentence translates to the algebraic equation 6z + 15 = 2y - 11, where 'fifteen more than z times six' is set equal to 'y times two minus eleven'.

Explanation:

The sentence 'Fifteen more than z times six is y times two minus eleven' can be translated into the algebraic equation 6z + 15 = 2y - 11. To form this equation, you start by multiplying z by six and then adding fifteen to the product. This sum is then set equal to the product of y times two, from which eleven is subtracted.