Find an equivalent expression for each expression by simplifying:

\((3x - 5y) + 7y\)

This question is quite simple really. They are basically asking you to combine like terms. You have two different figures with the variable y, so you just combine the them. It would then be 3x + 2y. You cannot simplify this equation any further since there is nothing to solve for or anymore like terms to combine.

Answered by jamallymall24 | 2024-06-10

The simplified form of the algebraic expression (3x - 5y) + 7y is 3x + 2y, achieved by combining like terms.
The student's question is asking for simplification of the algebraic expression (3x - 5y) + 7y. To simplify, we combine like terms. The terms -5y and +7y are like terms because they both contain the variable y raised to the same power. When we combine them, we subtract 5y from 7y, which gives us 2y. The expression simplifies to 3x + 2y. This new expression is equivalent to the original, but it is the simplest form.

Answered by ToddBoyce | 2024-06-25

To simplify the expression ( 3 x − 5 y ) + 7 y , combine like terms − 5 y + 7 y to get 2 y . The simplified expression is then 3 x + 2 y . This process demonstrates how we can reduce expressions to their simplest form while keeping their value equivalent.
;

Answered by ToddBoyce | 2025-01-14