Question

Find the sum of (8y + 3.2) and (12y +6 – 11x).

Answer 1

The sum of the algebraic expressions (8y + 3.2) and (12y + 6 - 11x) is found by combining like terms, resulting in 20y - 11x + 9.2.

Step-by-step explanation:

To find the sum of the algebraic expressions (8y + 3.2) and (12y + 6 - 11x), we combine like terms. Like terms are terms that contain the same variables raised to the same power. Here's how you do it step by step:

• First, identify the like terms in the two expressions. 8y and 12y are like terms, and 3.2 and 6 are like terms. The term -11x does not have a like term in the first expression.
• Next, add the coefficients of the like terms: 8y + 12y equals 20y.
• Then, add the constant terms: 3.2 + 6 equals 9.2.
• Finally, write down the unlike term as it is: -11x.

The sum of the expressions is 20y - 11x + 9.2.