Question

Which mathematical expression is equivalent to 2x + 3y - (x + 8 + 1)?

A) x + 3y - 9
B) 6(x + y)
C) 5x + 2y - 7
D) 3(x + y) - 9

Answer 1

The mathematical expression equivalent to 2x + 3y - (x + 8 + 1) is x + 3y - 9, corresponding to option A.

Step-by-step explanation:

The mathematical expression equivalent to 2x + 3y - (x + 8 + 1) can be found by distributing the negative sign through the parentheses, which changes the signs of the terms inside the parentheses. This will give us:

2x + 3y - x - 8 - 1

Combine like terms by adding/subtracting the coefficients of the same variables, and also combining the constant terms:

(2x - x) + 3y - 8 - 1

x + 3y - 9

Therefore, the expression equivalent to the original expression is x + 3y - 9, which corresponds to option A in the provided choices.