tell whether this pair of expressions is equivalent
11-3(x+4)+5 and -3(x+4)+16
To determine if the pair of expressions are equivalent, we can simplify each expression and compare the results.
First expression: 11 - 3(x + 4) + 5
Simplifying parentheses: 11 - 3x - 12 + 5
Combining like terms: -3x + 4
Second expression: -3(x + 4) + 16
Distributing -3 to terms inside parentheses: -3x - 12 + 16
Combining like terms: -3x + 4
Both expressions simplify to -3x + 4, therefore the pair of expressions is equivalent.