The equation 5y * 2y = 10y represents a mathematical expression involving variables and multiplication. To provide a clear and concise explanation, let’s break it down:

  1. Variables: In mathematics, variables are symbols that represent unknown quantities or values. In this case, “y” is the variable used in the equation.
  2. Multiplication: The asterisk (*) symbol denotes multiplication. When two or more numbers or variables are multiplied, the result is the product of those values.

Now, let’s simplify the equation and see how it works with some examples:

Example 1: If we substitute “y” with the value 2, the equation becomes: 5 * 2 * 2 = 10 * 2 10 * 2 = 20

Example 2: Let’s try substituting “y” with the value 3: 5 * 3 * 3 = 10 * 3 15 * 3 = 30

From these examples, we can observe that multiplying “5y” by “2y” gives us the same result as multiplying “10y.” This is because when we multiply variables with the same base (in this case, “y”), we add the exponents. Since both “5y” and “2y” have an exponent of 1, the multiplication results in “10y” with an exponent of 1 as well.

To summarize:

  • The equation 5y * 2y = 10y represents the multiplication of two expressions involving the variable “y.”
  • When multiplying variables with the same base, we add the exponents.
  • The result of 5y * 2y is equal to 10y, which means they have the same value.

I hope this explanation helps you understand the concept of multiplying variables and how it applies to the equation 5y * 2y = 10y. If you have any further questions, feel free to ask!

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